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Finding the Fourth Proportional to 31,565.40, 47,355.51 and 9,378.96

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Solution

The fourth proportional to 31,565.40, 47,355.51 and 9,378.96 is: 14,070.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,565.40 : 47,355.51 = 9,378.96 : x
  2. Step 2: Convert to fraction form
    31,565.40/47,355.51 = 9,378.96/x
  3. Step 3: Cross multiply
    31,565.40x = 47,355.51 × 9,378.96
  4. Step 4: Simplify right side
    31,565.40x = 444,145,434.07
  5. Step 5: Solve for x
    x = 444,145,434.07/31,565.40
  6. Step 6: Final answer
    x = 14,070.64

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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.