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Finding the Fourth Proportional to 32,486.32, 48,748.92 and 29,842.48

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Solution

The fourth proportional to 32,486.32, 48,748.92 and 29,842.48 is: 44,781.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,486.32 : 48,748.92 = 29,842.48 : x
  2. Step 2: Convert to fraction form
    32,486.32/48,748.92 = 29,842.48/x
  3. Step 3: Cross multiply
    32,486.32x = 48,748.92 × 29,842.48
  4. Step 4: Simplify right side
    32,486.32x = 1,454,788,670.12
  5. Step 5: Solve for x
    x = 1,454,788,670.12/32,486.32
  6. Step 6: Final answer
    x = 44,781.58

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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.