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Finding the Fourth Proportional to 31,612.98, 47,419.52 and 12,903.20

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Solution

The fourth proportional to 31,612.98, 47,419.52 and 12,903.20 is: 19,354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,612.98 : 47,419.52 = 12,903.20 : x
  2. Step 2: Convert to fraction form
    31,612.98/47,419.52 = 12,903.20/x
  3. Step 3: Cross multiply
    31,612.98x = 47,419.52 × 12,903.20
  4. Step 4: Simplify right side
    31,612.98x = 611,863,550.46
  5. Step 5: Solve for x
    x = 611,863,550.46/31,612.98
  6. Step 6: Final answer
    x = 19,354.82

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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.