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Finding the Fourth Proportional to 48,565.44, 72,964.80 and 31,069.44

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Solution

The fourth proportional to 48,565.44, 72,964.80 and 31,069.44 is: 46,678.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,565.44 : 72,964.80 = 31,069.44 : x
  2. Step 2: Convert to fraction form
    48,565.44/72,964.80 = 31,069.44/x
  3. Step 3: Cross multiply
    48,565.44x = 72,964.80 × 31,069.44
  4. Step 4: Simplify right side
    48,565.44x = 2,266,975,475.71
  5. Step 5: Solve for x
    x = 2,266,975,475.71/48,565.44
  6. Step 6: Final answer
    x = 46,678.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.