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Finding the Fourth Proportional to 83,020.56, 114,567.48 and 45,294

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Solution

The fourth proportional to 83,020.56, 114,567.48 and 45,294 is: 62,505.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,020.56 : 114,567.48 = 45,294 : x
  2. Step 2: Convert to fraction form
    83,020.56/114,567.48 = 45,294/x
  3. Step 3: Cross multiply
    83,020.56x = 114,567.48 × 45,294
  4. Step 4: Simplify right side
    83,020.56x = 5,189,219,439.12
  5. Step 5: Solve for x
    x = 5,189,219,439.12/83,020.56
  6. Step 6: Final answer
    x = 62,505.23

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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.