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Finding the Fourth Proportional to 83,283.57, 114,931.33 and 45,043.12

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Solution

The fourth proportional to 83,283.57, 114,931.33 and 45,043.12 is: 62,159.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,283.57 : 114,931.33 = 45,043.12 : x
  2. Step 2: Convert to fraction form
    83,283.57/114,931.33 = 45,043.12/x
  3. Step 3: Cross multiply
    83,283.57x = 114,931.33 × 45,043.12
  4. Step 4: Simplify right side
    83,283.57x = 5,176,865,720.01
  5. Step 5: Solve for x
    x = 5,176,865,720.01/83,283.57
  6. Step 6: Final answer
    x = 62,159.51

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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.