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Finding the Fourth Proportional to 34,767,562.80, 52,114,019.40 and 13,193,828.40

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Solution

The fourth proportional to 34,767,562.80, 52,114,019.40 and 13,193,828.40 is: 19,776,578.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,767,562.80 : 52,114,019.40 = 13,193,828.40 : x
  2. Step 2: Convert to fraction form
    34,767,562.80/52,114,019.40 = 13,193,828.40/x
  3. Step 3: Cross multiply
    34,767,562.80x = 52,114,019.40 × 13,193,828.40
  4. Step 4: Simplify right side
    34,767,562.80x = 687,583,429,197,871
  5. Step 5: Solve for x
    x = 687,583,429,197,871/34,767,562.80
  6. Step 6: Final answer
    x = 19,776,578.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.