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Finding the Fourth Proportional to 35,124.80, 52,681.92 and 9,826.34

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Solution

The fourth proportional to 35,124.80, 52,681.92 and 9,826.34 is: 14,738.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,124.80 : 52,681.92 = 9,826.34 : x
  2. Step 2: Convert to fraction form
    35,124.80/52,681.92 = 9,826.34/x
  3. Step 3: Cross multiply
    35,124.80x = 52,681.92 × 9,826.34
  4. Step 4: Simplify right side
    35,124.80x = 517,670,457.77
  5. Step 5: Solve for x
    x = 517,670,457.77/35,124.80
  6. Step 6: Final answer
    x = 14,738.03

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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.