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Finding the Fourth Proportional to 83,281.84, 114,931.65 and 45,556.09

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Solution

The fourth proportional to 83,281.84, 114,931.65 and 45,556.09 is: 62,868.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,281.84 : 114,931.65 = 45,556.09 : x
  2. Step 2: Convert to fraction form
    83,281.84/114,931.65 = 45,556.09/x
  3. Step 3: Cross multiply
    83,281.84x = 114,931.65 × 45,556.09
  4. Step 4: Simplify right side
    83,281.84x = 5,235,836,591.25
  5. Step 5: Solve for x
    x = 5,235,836,591.25/83,281.84
  6. Step 6: Final answer
    x = 62,868.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.