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Finding the Fourth Proportional to 48,774.92, 72,980.94 and 29,064.20

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Solution

The fourth proportional to 48,774.92, 72,980.94 and 29,064.20 is: 43,488.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,774.92 : 72,980.94 = 29,064.20 : x
  2. Step 2: Convert to fraction form
    48,774.92/72,980.94 = 29,064.20/x
  3. Step 3: Cross multiply
    48,774.92x = 72,980.94 × 29,064.20
  4. Step 4: Simplify right side
    48,774.92x = 2,121,132,636.35
  5. Step 5: Solve for x
    x = 2,121,132,636.35/48,774.92
  6. Step 6: Final answer
    x = 43,488.18

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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.