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Finding the Fourth Proportional to 48,650.34, 72,978.58 and 20,565.16

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Solution

The fourth proportional to 48,650.34, 72,978.58 and 20,565.16 is: 30,849.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,650.34 : 72,978.58 = 20,565.16 : x
  2. Step 2: Convert to fraction form
    48,650.34/72,978.58 = 20,565.16/x
  3. Step 3: Cross multiply
    48,650.34x = 72,978.58 × 20,565.16
  4. Step 4: Simplify right side
    48,650.34x = 1,500,816,043.24
  5. Step 5: Solve for x
    x = 1,500,816,043.24/48,650.34
  6. Step 6: Final answer
    x = 30,849.04

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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.