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Finding the Fourth Proportional to 32,125.57, 48,194.22 and 9,937.44

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Solution

The fourth proportional to 32,125.57, 48,194.22 and 9,937.44 is: 14,907.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,125.57 : 48,194.22 = 9,937.44 : x
  2. Step 2: Convert to fraction form
    32,125.57/48,194.22 = 9,937.44/x
  3. Step 3: Cross multiply
    32,125.57x = 48,194.22 × 9,937.44
  4. Step 4: Simplify right side
    32,125.57x = 478,927,206.86
  5. Step 5: Solve for x
    x = 478,927,206.86/32,125.57
  6. Step 6: Final answer
    x = 14,907.98

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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.