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Finding the Fourth Proportional to 47,042.37, 70,565.72 and 13,765.31

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Solution

The fourth proportional to 47,042.37, 70,565.72 and 13,765.31 is: 20,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,042.37 : 70,565.72 = 13,765.31 : x
  2. Step 2: Convert to fraction form
    47,042.37/70,565.72 = 13,765.31/x
  3. Step 3: Cross multiply
    47,042.37x = 70,565.72 × 13,765.31
  4. Step 4: Simplify right side
    47,042.37x = 971,358,854.14
  5. Step 5: Solve for x
    x = 971,358,854.14/47,042.37
  6. Step 6: Final answer
    x = 20,648.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.