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Finding the Fourth Proportional to 98,712.96, 148,069.29 and 32,152.98

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Solution

The fourth proportional to 98,712.96, 148,069.29 and 32,152.98 is: 48,229.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,712.96 : 148,069.29 = 32,152.98 : x
  2. Step 2: Convert to fraction form
    98,712.96/148,069.29 = 32,152.98/x
  3. Step 3: Cross multiply
    98,712.96x = 148,069.29 × 32,152.98
  4. Step 4: Simplify right side
    98,712.96x = 4,760,868,919.98
  5. Step 5: Solve for x
    x = 4,760,868,919.98/98,712.96
  6. Step 6: Final answer
    x = 48,229.42

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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.