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Finding the Fourth Proportional to 97,292.85, 145,876.38 and 38,134.50

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Solution

The fourth proportional to 97,292.85, 145,876.38 and 38,134.50 is: 57,177.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,292.85 : 145,876.38 = 38,134.50 : x
  2. Step 2: Convert to fraction form
    97,292.85/145,876.38 = 38,134.50/x
  3. Step 3: Cross multiply
    97,292.85x = 145,876.38 × 38,134.50
  4. Step 4: Simplify right side
    97,292.85x = 5,562,922,123.07
  5. Step 5: Solve for x
    x = 5,562,922,123.07/97,292.85
  6. Step 6: Final answer
    x = 57,177.09

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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.