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Finding the Fourth Proportional to 102,842.78, 154,275.50 and 32,705.69

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Solution

The fourth proportional to 102,842.78, 154,275.50 and 32,705.69 is: 49,062.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,842.78 : 154,275.50 = 32,705.69 : x
  2. Step 2: Convert to fraction form
    102,842.78/154,275.50 = 32,705.69/x
  3. Step 3: Cross multiply
    102,842.78x = 154,275.50 × 32,705.69
  4. Step 4: Simplify right side
    102,842.78x = 5,045,685,987.98
  5. Step 5: Solve for x
    x = 5,045,685,987.98/102,842.78
  6. Step 6: Final answer
    x = 49,062.13

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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.