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Finding the Fourth Proportional to 39,657.16, 59,471.74 and 11,569.48

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Solution

The fourth proportional to 39,657.16, 59,471.74 and 11,569.48 is: 17,350.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,657.16 : 59,471.74 = 11,569.48 : x
  2. Step 2: Convert to fraction form
    39,657.16/59,471.74 = 11,569.48/x
  3. Step 3: Cross multiply
    39,657.16x = 59,471.74 × 11,569.48
  4. Step 4: Simplify right side
    39,657.16x = 688,057,106.50
  5. Step 5: Solve for x
    x = 688,057,106.50/39,657.16
  6. Step 6: Final answer
    x = 17,350.14

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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.