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Finding the Fourth Proportional to 31,802.32, 47,704.23 and 9,615.61

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Solution

The fourth proportional to 31,802.32, 47,704.23 and 9,615.61 is: 14,423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,802.32 : 47,704.23 = 9,615.61 : x
  2. Step 2: Convert to fraction form
    31,802.32/47,704.23 = 9,615.61/x
  3. Step 3: Cross multiply
    31,802.32x = 47,704.23 × 9,615.61
  4. Step 4: Simplify right side
    31,802.32x = 458,705,151.77
  5. Step 5: Solve for x
    x = 458,705,151.77/31,802.32
  6. Step 6: Final answer
    x = 14,423.64

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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.