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Finding the Fourth Proportional to 32,122.70, 48,188.64 and 9,937.97

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Solution

The fourth proportional to 32,122.70, 48,188.64 and 9,937.97 is: 14,908.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,122.70 : 48,188.64 = 9,937.97 : x
  2. Step 2: Convert to fraction form
    32,122.70/48,188.64 = 9,937.97/x
  3. Step 3: Cross multiply
    32,122.70x = 48,188.64 × 9,937.97
  4. Step 4: Simplify right side
    32,122.70x = 478,897,258.66
  5. Step 5: Solve for x
    x = 478,897,258.66/32,122.70
  6. Step 6: Final answer
    x = 14,908.38

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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.