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Finding the Fourth Proportional to 102,317.48, 153,499.96 and 32,194.97

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Solution

The fourth proportional to 102,317.48, 153,499.96 and 32,194.97 is: 48,299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,317.48 : 153,499.96 = 32,194.97 : x
  2. Step 2: Convert to fraction form
    102,317.48/153,499.96 = 32,194.97/x
  3. Step 3: Cross multiply
    102,317.48x = 153,499.96 × 32,194.97
  4. Step 4: Simplify right side
    102,317.48x = 4,941,926,455.57
  5. Step 5: Solve for x
    x = 4,941,926,455.57/102,317.48
  6. Step 6: Final answer
    x = 48,299.92

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1.5x scale

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.