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Finding the Fourth Proportional to 98,527.66, 147,813.05 and 31,974.48

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Solution

The fourth proportional to 98,527.66, 147,813.05 and 31,974.48 is: 47,968.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,527.66 : 147,813.05 = 31,974.48 : x
  2. Step 2: Convert to fraction form
    98,527.66/147,813.05 = 31,974.48/x
  3. Step 3: Cross multiply
    98,527.66x = 147,813.05 × 31,974.48
  4. Step 4: Simplify right side
    98,527.66x = 4,726,245,490.90
  5. Step 5: Solve for x
    x = 4,726,245,490.90/98,527.66
  6. Step 6: Final answer
    x = 47,968.72

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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.