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Finding the Fourth Proportional to 97,468.32, 146,084.67 and 47,473.50

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Solution

The fourth proportional to 97,468.32, 146,084.67 and 47,473.50 is: 71,152.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,468.32 : 146,084.67 = 47,473.50 : x
  2. Step 2: Convert to fraction form
    97,468.32/146,084.67 = 47,473.50/x
  3. Step 3: Cross multiply
    97,468.32x = 146,084.67 × 47,473.50
  4. Step 4: Simplify right side
    97,468.32x = 6,935,150,581.25
  5. Step 5: Solve for x
    x = 6,935,150,581.25/97,468.32
  6. Step 6: Final answer
    x = 71,152.87

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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.