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Finding the Fourth Proportional to 47,084, 70,625.84 and 29,566.12

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Solution

The fourth proportional to 47,084, 70,625.84 and 29,566.12 is: 44,349.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,084 : 70,625.84 = 29,566.12 : x
  2. Step 2: Convert to fraction form
    47,084/70,625.84 = 29,566.12/x
  3. Step 3: Cross multiply
    47,084x = 70,625.84 × 29,566.12
  4. Step 4: Simplify right side
    47,084x = 2,088,132,060.54
  5. Step 5: Solve for x
    x = 2,088,132,060.54/47,084
  6. Step 6: Final answer
    x = 44,349.08

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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.