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Finding the Fourth Proportional to 47,999.70, 71,999.55 and 47,538.90

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Solution

The fourth proportional to 47,999.70, 71,999.55 and 47,538.90 is: 71,308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,999.70 : 71,999.55 = 47,538.90 : x
  2. Step 2: Convert to fraction form
    47,999.70/71,999.55 = 47,538.90/x
  3. Step 3: Cross multiply
    47,999.70x = 71,999.55 × 47,538.90
  4. Step 4: Simplify right side
    47,999.70x = 3,422,779,407.50
  5. Step 5: Solve for x
    x = 3,422,779,407.50/47,999.70
  6. Step 6: Final answer
    x = 71,308.35

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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.