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Finding the Fourth Proportional to 98,930.88, 148,394.25 and 24,051.42

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Solution

The fourth proportional to 98,930.88, 148,394.25 and 24,051.42 is: 36,076.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,930.88 : 148,394.25 = 24,051.42 : x
  2. Step 2: Convert to fraction form
    98,930.88/148,394.25 = 24,051.42/x
  3. Step 3: Cross multiply
    98,930.88x = 148,394.25 × 24,051.42
  4. Step 4: Simplify right side
    98,930.88x = 3,569,092,432.34
  5. Step 5: Solve for x
    x = 3,569,092,432.34/98,930.88
  6. Step 6: Final answer
    x = 36,076.63

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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.