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Finding the Fourth Proportional to 35,957.71, 53,960.56 and 12,584.15

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Solution

The fourth proportional to 35,957.71, 53,960.56 and 12,584.15 is: 18,884.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,957.71 : 53,960.56 = 12,584.15 : x
  2. Step 2: Convert to fraction form
    35,957.71/53,960.56 = 12,584.15/x
  3. Step 3: Cross multiply
    35,957.71x = 53,960.56 × 12,584.15
  4. Step 4: Simplify right side
    35,957.71x = 679,047,781.12
  5. Step 5: Solve for x
    x = 679,047,781.12/35,957.71
  6. Step 6: Final answer
    x = 18,884.62

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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.