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Finding the Fourth Proportional to 98,463.50, 135,824.92 and 64,526.72

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Solution

The fourth proportional to 98,463.50, 135,824.92 and 64,526.72 is: 89,011.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,463.50 : 135,824.92 = 64,526.72 : x
  2. Step 2: Convert to fraction form
    98,463.50/135,824.92 = 64,526.72/x
  3. Step 3: Cross multiply
    98,463.50x = 135,824.92 × 64,526.72
  4. Step 4: Simplify right side
    98,463.50x = 8,764,336,581.86
  5. Step 5: Solve for x
    x = 8,764,336,581.86/98,463.50
  6. Step 6: Final answer
    x = 89,011.02

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Why These Related Problems?

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