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Finding the Fourth Proportional to 31,615.68, 47,387.04 and 11,881.62

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Solution

The fourth proportional to 31,615.68, 47,387.04 and 11,881.62 is: 17,808.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,615.68 : 47,387.04 = 11,881.62 : x
  2. Step 2: Convert to fraction form
    31,615.68/47,387.04 = 11,881.62/x
  3. Step 3: Cross multiply
    31,615.68x = 47,387.04 × 11,881.62
  4. Step 4: Simplify right side
    31,615.68x = 563,034,802.20
  5. Step 5: Solve for x
    x = 563,034,802.20/31,615.68
  6. Step 6: Final answer
    x = 17,808.72

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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.