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Finding the Fourth Proportional to 98,713.50, 148,085.64 and 32,137.92

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Solution

The fourth proportional to 98,713.50, 148,085.64 and 32,137.92 is: 48,211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,713.50 : 148,085.64 = 32,137.92 : x
  2. Step 2: Convert to fraction form
    98,713.50/148,085.64 = 32,137.92/x
  3. Step 3: Cross multiply
    98,713.50x = 148,085.64 × 32,137.92
  4. Step 4: Simplify right side
    98,713.50x = 4,759,164,451.47
  5. Step 5: Solve for x
    x = 4,759,164,451.47/98,713.50
  6. Step 6: Final answer
    x = 48,211.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.