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Finding the Fourth Proportional to 31,655.49, 47,483.69 and 8,281.92

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Solution

The fourth proportional to 31,655.49, 47,483.69 and 8,281.92 is: 12,423.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,655.49 : 47,483.69 = 8,281.92 : x
  2. Step 2: Convert to fraction form
    31,655.49/47,483.69 = 8,281.92/x
  3. Step 3: Cross multiply
    31,655.49x = 47,483.69 × 8,281.92
  4. Step 4: Simplify right side
    31,655.49x = 393,256,080.48
  5. Step 5: Solve for x
    x = 393,256,080.48/31,655.49
  6. Step 6: Final answer
    x = 12,423.00

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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.