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Finding the Fourth Proportional to 97,524, 146,328.26 and 34,389.22

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Solution

The fourth proportional to 97,524, 146,328.26 and 34,389.22 is: 51,598.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,524 : 146,328.26 = 34,389.22 : x
  2. Step 2: Convert to fraction form
    97,524/146,328.26 = 34,389.22/x
  3. Step 3: Cross multiply
    97,524x = 146,328.26 × 34,389.22
  4. Step 4: Simplify right side
    97,524x = 5,032,114,050.41
  5. Step 5: Solve for x
    x = 5,032,114,050.41/97,524
  6. Step 6: Final answer
    x = 51,598.72

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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.