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Finding the Fourth Proportional to 31,750.32, 47,632.14 and 9,565.32

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Solution

The fourth proportional to 31,750.32, 47,632.14 and 9,565.32 is: 14,349.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,750.32 : 47,632.14 = 9,565.32 : x
  2. Step 2: Convert to fraction form
    31,750.32/47,632.14 = 9,565.32/x
  3. Step 3: Cross multiply
    31,750.32x = 47,632.14 × 9,565.32
  4. Step 4: Simplify right side
    31,750.32x = 455,616,661.38
  5. Step 5: Solve for x
    x = 455,616,661.38/31,750.32
  6. Step 6: Final answer
    x = 14,349.99

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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.