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Finding the Fourth Proportional to 57,584.04, 86,339.08 and 24,295

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Solution

The fourth proportional to 57,584.04, 86,339.08 and 24,295 is: 36,426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,584.04 : 86,339.08 = 24,295 : x
  2. Step 2: Convert to fraction form
    57,584.04/86,339.08 = 24,295/x
  3. Step 3: Cross multiply
    57,584.04x = 86,339.08 × 24,295
  4. Step 4: Simplify right side
    57,584.04x = 2,097,607,948.60
  5. Step 5: Solve for x
    x = 2,097,607,948.60/57,584.04
  6. Step 6: Final answer
    x = 36,426.90

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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.