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Finding the Fourth Proportional to 83,273.38, 114,919.08 and 45,547.63

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Solution

The fourth proportional to 83,273.38, 114,919.08 and 45,547.63 is: 62,856.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,273.38 : 114,919.08 = 45,547.63 : x
  2. Step 2: Convert to fraction form
    83,273.38/114,919.08 = 45,547.63/x
  3. Step 3: Cross multiply
    83,273.38x = 114,919.08 × 45,547.63
  4. Step 4: Simplify right side
    83,273.38x = 5,234,291,161.19
  5. Step 5: Solve for x
    x = 5,234,291,161.19/83,273.38
  6. Step 6: Final answer
    x = 62,856.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.