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Finding the Fourth Proportional to 32,084.89, 48,135.54 and 13,358.71

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Solution

The fourth proportional to 32,084.89, 48,135.54 and 13,358.71 is: 20,041.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,084.89 : 48,135.54 = 13,358.71 : x
  2. Step 2: Convert to fraction form
    32,084.89/48,135.54 = 13,358.71/x
  3. Step 3: Cross multiply
    32,084.89x = 48,135.54 × 13,358.71
  4. Step 4: Simplify right side
    32,084.89x = 643,028,483.91
  5. Step 5: Solve for x
    x = 643,028,483.91/32,084.89
  6. Step 6: Final answer
    x = 20,041.47

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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.