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Finding the Fourth Proportional to 47,605.80, 65,728.08 and 42,553.86

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Solution

The fourth proportional to 47,605.80, 65,728.08 and 42,553.86 is: 58,753.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,605.80 : 65,728.08 = 42,553.86 : x
  2. Step 2: Convert to fraction form
    47,605.80/65,728.08 = 42,553.86/x
  3. Step 3: Cross multiply
    47,605.80x = 65,728.08 × 42,553.86
  4. Step 4: Simplify right side
    47,605.80x = 2,796,983,514.39
  5. Step 5: Solve for x
    x = 2,796,983,514.39/47,605.80
  6. Step 6: Final answer
    x = 58,753.00

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Why These Related Problems?

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