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Finding the Fourth Proportional to 57,196.50, 78,931.17 and 34,840.50

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Solution

The fourth proportional to 57,196.50, 78,931.17 and 34,840.50 is: 48,079.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,196.50 : 78,931.17 = 34,840.50 : x
  2. Step 2: Convert to fraction form
    57,196.50/78,931.17 = 34,840.50/x
  3. Step 3: Cross multiply
    57,196.50x = 78,931.17 × 34,840.50
  4. Step 4: Simplify right side
    57,196.50x = 2,750,001,428.39
  5. Step 5: Solve for x
    x = 2,750,001,428.39/57,196.50
  6. Step 6: Final answer
    x = 48,079.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.