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Finding the Fourth Proportional to 98,932.59, 148,471.79 and 61,547.65

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Solution

The fourth proportional to 98,932.59, 148,471.79 and 61,547.65 is: 92,366.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,932.59 : 148,471.79 = 61,547.65 : x
  2. Step 2: Convert to fraction form
    98,932.59/148,471.79 = 61,547.65/x
  3. Step 3: Cross multiply
    98,932.59x = 148,471.79 × 61,547.65
  4. Step 4: Simplify right side
    98,932.59x = 9,138,089,086.88
  5. Step 5: Solve for x
    x = 9,138,089,086.88/98,932.59
  6. Step 6: Final answer
    x = 92,366.82

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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.