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Finding the Fourth Proportional to 83,273.56, 114,918.42 and 45,547

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Solution

The fourth proportional to 83,273.56, 114,918.42 and 45,547 is: 62,855.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,273.56 : 114,918.42 = 45,547 : x
  2. Step 2: Convert to fraction form
    83,273.56/114,918.42 = 45,547/x
  3. Step 3: Cross multiply
    83,273.56x = 114,918.42 × 45,547
  4. Step 4: Simplify right side
    83,273.56x = 5,234,189,275.74
  5. Step 5: Solve for x
    x = 5,234,189,275.74/83,273.56
  6. Step 6: Final answer
    x = 62,855.36

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