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Finding the Fourth Proportional to 102,319.48, 153,502.96 and 32,196.97

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Solution

The fourth proportional to 102,319.48, 153,502.96 and 32,196.97 is: 48,302.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,319.48 : 153,502.96 = 32,196.97 : x
  2. Step 2: Convert to fraction form
    102,319.48/153,502.96 = 32,196.97/x
  3. Step 3: Cross multiply
    102,319.48x = 153,502.96 × 32,196.97
  4. Step 4: Simplify right side
    102,319.48x = 4,942,330,198.03
  5. Step 5: Solve for x
    x = 4,942,330,198.03/102,319.48
  6. Step 6: Final answer
    x = 48,302.93

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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.