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Finding the Fourth Proportional to 57,283.71, 85,866.93 and 24,023.04

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Solution

The fourth proportional to 57,283.71, 85,866.93 and 24,023.04 is: 36,009.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,283.71 : 85,866.93 = 24,023.04 : x
  2. Step 2: Convert to fraction form
    57,283.71/85,866.93 = 24,023.04/x
  3. Step 3: Cross multiply
    57,283.71x = 85,866.93 × 24,023.04
  4. Step 4: Simplify right side
    57,283.71x = 2,062,784,694.07
  5. Step 5: Solve for x
    x = 2,062,784,694.07/57,283.71
  6. Step 6: Final answer
    x = 36,009.97

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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.