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Finding the Fourth Proportional to 83,293.50, 114,947.73 and 45,567.75

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Solution

The fourth proportional to 83,293.50, 114,947.73 and 45,567.75 is: 62,884.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,293.50 : 114,947.73 = 45,567.75 : x
  2. Step 2: Convert to fraction form
    83,293.50/114,947.73 = 45,567.75/x
  3. Step 3: Cross multiply
    83,293.50x = 114,947.73 × 45,567.75
  4. Step 4: Simplify right side
    83,293.50x = 5,237,909,423.71
  5. Step 5: Solve for x
    x = 5,237,909,423.71/83,293.50
  6. Step 6: Final answer
    x = 62,884.97

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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.