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Finding the Fourth Proportional to 98,560.68, 147,864.26 and 31,995.69

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Solution

The fourth proportional to 98,560.68, 147,864.26 and 31,995.69 is: 48,001.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,560.68 : 147,864.26 = 31,995.69 : x
  2. Step 2: Convert to fraction form
    98,560.68/147,864.26 = 31,995.69/x
  3. Step 3: Cross multiply
    98,560.68x = 147,864.26 × 31,995.69
  4. Step 4: Simplify right side
    98,560.68x = 4,731,019,025.04
  5. Step 5: Solve for x
    x = 4,731,019,025.04/98,560.68
  6. Step 6: Final answer
    x = 48,001.08

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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.