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Finding the Fourth Proportional to 98,654.94, 147,965.13 and 32,085.36

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Solution

The fourth proportional to 98,654.94, 147,965.13 and 32,085.36 is: 48,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,654.94 : 147,965.13 = 32,085.36 : x
  2. Step 2: Convert to fraction form
    98,654.94/147,965.13 = 32,085.36/x
  3. Step 3: Cross multiply
    98,654.94x = 147,965.13 × 32,085.36
  4. Step 4: Simplify right side
    98,654.94x = 4,747,514,463.50
  5. Step 5: Solve for x
    x = 4,747,514,463.50/98,654.94
  6. Step 6: Final answer
    x = 48,122.42

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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.