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Finding the Fourth Proportional to 32,074.60, 48,117.42 and 11,013.64

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Solution

The fourth proportional to 32,074.60, 48,117.42 and 11,013.64 is: 16,522.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,074.60 : 48,117.42 = 11,013.64 : x
  2. Step 2: Convert to fraction form
    32,074.60/48,117.42 = 11,013.64/x
  3. Step 3: Cross multiply
    32,074.60x = 48,117.42 × 11,013.64
  4. Step 4: Simplify right side
    32,074.60x = 529,947,941.61
  5. Step 5: Solve for x
    x = 529,947,941.61/32,074.60
  6. Step 6: Final answer
    x = 16,522.36

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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.