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Finding the Fourth Proportional to 47,978.64, 71,832.60 and 25,437.96

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Solution

The fourth proportional to 47,978.64, 71,832.60 and 25,437.96 is: 38,085.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,978.64 : 71,832.60 = 25,437.96 : x
  2. Step 2: Convert to fraction form
    47,978.64/71,832.60 = 25,437.96/x
  3. Step 3: Cross multiply
    47,978.64x = 71,832.60 × 25,437.96
  4. Step 4: Simplify right side
    47,978.64x = 1,827,274,805.50
  5. Step 5: Solve for x
    x = 1,827,274,805.50/47,978.64
  6. Step 6: Final answer
    x = 38,085.17

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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.