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Finding the Fourth Proportional to 83,283.38, 114,938.98 and 45,563.30

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Solution

The fourth proportional to 83,283.38, 114,938.98 and 45,563.30 is: 62,881.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,283.38 : 114,938.98 = 45,563.30 : x
  2. Step 2: Convert to fraction form
    83,283.38/114,938.98 = 45,563.30/x
  3. Step 3: Cross multiply
    83,283.38x = 114,938.98 × 45,563.30
  4. Step 4: Simplify right side
    83,283.38x = 5,236,999,227.43
  5. Step 5: Solve for x
    x = 5,236,999,227.43/83,283.38
  6. Step 6: Final answer
    x = 62,881.68

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1.5x scale

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.