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Finding the Fourth Proportional to 32,019.30, 48,269.12 and 29,878.47

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Solution

The fourth proportional to 32,019.30, 48,269.12 and 29,878.47 is: 45,041.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,019.30 : 48,269.12 = 29,878.47 : x
  2. Step 2: Convert to fraction form
    32,019.30/48,269.12 = 29,878.47/x
  3. Step 3: Cross multiply
    32,019.30x = 48,269.12 × 29,878.47
  4. Step 4: Simplify right side
    32,019.30x = 1,442,207,304.45
  5. Step 5: Solve for x
    x = 1,442,207,304.45/32,019.30
  6. Step 6: Final answer
    x = 45,041.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.