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Finding the Fourth Proportional to 83,064.41, 114,628.88 and 45,338.66

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Solution

The fourth proportional to 83,064.41, 114,628.88 and 45,338.66 is: 62,567.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,064.41 : 114,628.88 = 45,338.66 : x
  2. Step 2: Convert to fraction form
    83,064.41/114,628.88 = 45,338.66/x
  3. Step 3: Cross multiply
    83,064.41x = 114,628.88 × 45,338.66
  4. Step 4: Simplify right side
    83,064.41x = 5,197,119,786.56
  5. Step 5: Solve for x
    x = 5,197,119,786.56/83,064.41
  6. Step 6: Final answer
    x = 62,567.35

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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.