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Finding the Fourth Proportional to 97,470.32, 146,087.67 and 47,475.50

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Solution

The fourth proportional to 97,470.32, 146,087.67 and 47,475.50 is: 71,155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,470.32 : 146,087.67 = 47,475.50 : x
  2. Step 2: Convert to fraction form
    97,470.32/146,087.67 = 47,475.50/x
  3. Step 3: Cross multiply
    97,470.32x = 146,087.67 × 47,475.50
  4. Step 4: Simplify right side
    97,470.32x = 6,935,585,177.09
  5. Step 5: Solve for x
    x = 6,935,585,177.09/97,470.32
  6. Step 6: Final answer
    x = 71,155.87

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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.