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Finding the Fourth Proportional to 47,488.56, 65,588 and 32,354.96

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Solution

The fourth proportional to 47,488.56, 65,588 and 32,354.96 is: 44,686.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,488.56 : 65,588 = 32,354.96 : x
  2. Step 2: Convert to fraction form
    47,488.56/65,588 = 32,354.96/x
  3. Step 3: Cross multiply
    47,488.56x = 65,588 × 32,354.96
  4. Step 4: Simplify right side
    47,488.56x = 2,122,097,116.48
  5. Step 5: Solve for x
    x = 2,122,097,116.48/47,488.56
  6. Step 6: Final answer
    x = 44,686.49

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