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Finding the Fourth Proportional to 32,082.15, 48,130.10 and 9,594.57

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Solution

The fourth proportional to 32,082.15, 48,130.10 and 9,594.57 is: 14,393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,082.15 : 48,130.10 = 9,594.57 : x
  2. Step 2: Convert to fraction form
    32,082.15/48,130.10 = 9,594.57/x
  3. Step 3: Cross multiply
    32,082.15x = 48,130.10 × 9,594.57
  4. Step 4: Simplify right side
    32,082.15x = 461,787,565.58
  5. Step 5: Solve for x
    x = 461,787,565.58/32,082.15
  6. Step 6: Final answer
    x = 14,393.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.