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Finding the Fourth Proportional to 102,579.80, 153,854.30 and 32,450

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Solution

The fourth proportional to 102,579.80, 153,854.30 and 32,450 is: 48,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,579.80 : 153,854.30 = 32,450 : x
  2. Step 2: Convert to fraction form
    102,579.80/153,854.30 = 32,450/x
  3. Step 3: Cross multiply
    102,579.80x = 153,854.30 × 32,450
  4. Step 4: Simplify right side
    102,579.80x = 4,992,572,035
  5. Step 5: Solve for x
    x = 4,992,572,035/102,579.80
  6. Step 6: Final answer
    x = 48,670.13

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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.