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Finding the Fourth Proportional to 60,637.50, 83,685.42 and 35,487

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Solution

The fourth proportional to 60,637.50, 83,685.42 and 35,487 is: 48,975.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,637.50 : 83,685.42 = 35,487 : x
  2. Step 2: Convert to fraction form
    60,637.50/83,685.42 = 35,487/x
  3. Step 3: Cross multiply
    60,637.50x = 83,685.42 × 35,487
  4. Step 4: Simplify right side
    60,637.50x = 2,969,744,499.54
  5. Step 5: Solve for x
    x = 2,969,744,499.54/60,637.50
  6. Step 6: Final answer
    x = 48,975.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.