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Finding the Fourth Proportional to 98,597.92, 147,955.44 and 36,312.16

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Solution

The fourth proportional to 98,597.92, 147,955.44 and 36,312.16 is: 54,489.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,597.92 : 147,955.44 = 36,312.16 : x
  2. Step 2: Convert to fraction form
    98,597.92/147,955.44 = 36,312.16/x
  3. Step 3: Cross multiply
    98,597.92x = 147,955.44 × 36,312.16
  4. Step 4: Simplify right side
    98,597.92x = 5,372,581,610.15
  5. Step 5: Solve for x
    x = 5,372,581,610.15/98,597.92
  6. Step 6: Final answer
    x = 54,489.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.