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Finding the Fourth Proportional to 52,642.62, 72,612.87 and 31,405.50

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Solution

The fourth proportional to 52,642.62, 72,612.87 and 31,405.50 is: 43,319.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,642.62 : 72,612.87 = 31,405.50 : x
  2. Step 2: Convert to fraction form
    52,642.62/72,612.87 = 31,405.50/x
  3. Step 3: Cross multiply
    52,642.62x = 72,612.87 × 31,405.50
  4. Step 4: Simplify right side
    52,642.62x = 2,280,443,488.79
  5. Step 5: Solve for x
    x = 2,280,443,488.79/52,642.62
  6. Step 6: Final answer
    x = 43,319.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.