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Finding the Fourth Proportional to 83,293.11, 114,945.48 and 45,567.36

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Solution

The fourth proportional to 83,293.11, 114,945.48 and 45,567.36 is: 62,883.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,293.11 : 114,945.48 = 45,567.36 : x
  2. Step 2: Convert to fraction form
    83,293.11/114,945.48 = 45,567.36/x
  3. Step 3: Cross multiply
    83,293.11x = 114,945.48 × 45,567.36
  4. Step 4: Simplify right side
    83,293.11x = 5,237,762,067.53
  5. Step 5: Solve for x
    x = 5,237,762,067.53/83,293.11
  6. Step 6: Final answer
    x = 62,883.50

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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.