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Finding the Fourth Proportional to 83,283.28, 114,931.04 and 45,557.52

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Solution

The fourth proportional to 83,283.28, 114,931.04 and 45,557.52 is: 62,869.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,283.28 : 114,931.04 = 45,557.52 : x
  2. Step 2: Convert to fraction form
    83,283.28/114,931.04 = 45,557.52/x
  3. Step 3: Cross multiply
    83,283.28x = 114,931.04 × 45,557.52
  4. Step 4: Simplify right side
    83,283.28x = 5,235,973,153.42
  5. Step 5: Solve for x
    x = 5,235,973,153.42/83,283.28
  6. Step 6: Final answer
    x = 62,869.44

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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.