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Finding the Fourth Proportional to 32,113.41, 48,174.66 and 9,928.73

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Solution

The fourth proportional to 32,113.41, 48,174.66 and 9,928.73 is: 14,894.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,113.41 : 48,174.66 = 9,928.73 : x
  2. Step 2: Convert to fraction form
    32,113.41/48,174.66 = 9,928.73/x
  3. Step 3: Cross multiply
    32,113.41x = 48,174.66 × 9,928.73
  4. Step 4: Simplify right side
    32,113.41x = 478,312,951.11
  5. Step 5: Solve for x
    x = 478,312,951.11/32,113.41
  6. Step 6: Final answer
    x = 14,894.49

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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.