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Finding the Fourth Proportional to 98,527.20, 147,804.72 and 31,951.68

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Solution

The fourth proportional to 98,527.20, 147,804.72 and 31,951.68 is: 47,932.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,527.20 : 147,804.72 = 31,951.68 : x
  2. Step 2: Convert to fraction form
    98,527.20/147,804.72 = 31,951.68/x
  3. Step 3: Cross multiply
    98,527.20x = 147,804.72 × 31,951.68
  4. Step 4: Simplify right side
    98,527.20x = 4,722,609,115.93
  5. Step 5: Solve for x
    x = 4,722,609,115.93/98,527.20
  6. Step 6: Final answer
    x = 47,932.03

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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.