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Finding the Fourth Proportional to 47,437.74, 65,470.95 and 28,318.32

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Solution

The fourth proportional to 47,437.74, 65,470.95 and 28,318.32 is: 39,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,437.74 : 65,470.95 = 28,318.32 : x
  2. Step 2: Convert to fraction form
    47,437.74/65,470.95 = 28,318.32/x
  3. Step 3: Cross multiply
    47,437.74x = 65,470.95 × 28,318.32
  4. Step 4: Simplify right side
    47,437.74x = 1,854,027,312.80
  5. Step 5: Solve for x
    x = 1,854,027,312.80/47,437.74
  6. Step 6: Final answer
    x = 39,083.38

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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.