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Finding the Fourth Proportional to 39,568.08, 59,350 and 9,986.17

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Solution

The fourth proportional to 39,568.08, 59,350 and 9,986.17 is: 14,978.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,568.08 : 59,350 = 9,986.17 : x
  2. Step 2: Convert to fraction form
    39,568.08/59,350 = 9,986.17/x
  3. Step 3: Cross multiply
    39,568.08x = 59,350 × 9,986.17
  4. Step 4: Simplify right side
    39,568.08x = 592,679,189.50
  5. Step 5: Solve for x
    x = 592,679,189.50/39,568.08
  6. Step 6: Final answer
    x = 14,978.72

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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.