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Finding the Fourth Proportional to 73,045.76, 109,568.70 and 17,641.76

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Solution

The fourth proportional to 73,045.76, 109,568.70 and 17,641.76 is: 26,462.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,045.76 : 109,568.70 = 17,641.76 : x
  2. Step 2: Convert to fraction form
    73,045.76/109,568.70 = 17,641.76/x
  3. Step 3: Cross multiply
    73,045.76x = 109,568.70 × 17,641.76
  4. Step 4: Simplify right side
    73,045.76x = 1,932,984,161.07
  5. Step 5: Solve for x
    x = 1,932,984,161.07/73,045.76
  6. Step 6: Final answer
    x = 26,462.65

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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.