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Finding the Fourth Proportional to 32,140.16, 48,211.36 and 9,951.52

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Solution

The fourth proportional to 32,140.16, 48,211.36 and 9,951.52 is: 14,927.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,140.16 : 48,211.36 = 9,951.52 : x
  2. Step 2: Convert to fraction form
    32,140.16/48,211.36 = 9,951.52/x
  3. Step 3: Cross multiply
    32,140.16x = 48,211.36 × 9,951.52
  4. Step 4: Simplify right side
    32,140.16x = 479,776,313.27
  5. Step 5: Solve for x
    x = 479,776,313.27/32,140.16
  6. Step 6: Final answer
    x = 14,927.63

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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.