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Finding the Fourth Proportional to 70,382.38, 105,563.85 and 17,788.68

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Solution

The fourth proportional to 70,382.38, 105,563.85 and 17,788.68 is: 26,680.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,382.38 : 105,563.85 = 17,788.68 : x
  2. Step 2: Convert to fraction form
    70,382.38/105,563.85 = 17,788.68/x
  3. Step 3: Cross multiply
    70,382.38x = 105,563.85 × 17,788.68
  4. Step 4: Simplify right side
    70,382.38x = 1,877,841,547.22
  5. Step 5: Solve for x
    x = 1,877,841,547.22/70,382.38
  6. Step 6: Final answer
    x = 26,680.56

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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.