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Finding the Fourth Proportional to 98,512.59, 147,755.04 and 31,953.30

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Solution

The fourth proportional to 98,512.59, 147,755.04 and 31,953.30 is: 47,925.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,512.59 : 147,755.04 = 31,953.30 : x
  2. Step 2: Convert to fraction form
    98,512.59/147,755.04 = 31,953.30/x
  3. Step 3: Cross multiply
    98,512.59x = 147,755.04 × 31,953.30
  4. Step 4: Simplify right side
    98,512.59x = 4,721,261,456.59
  5. Step 5: Solve for x
    x = 4,721,261,456.59/98,512.59
  6. Step 6: Final answer
    x = 47,925.46

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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.