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Finding the Fourth Proportional to 83,064.64, 114,628.80 and 45,338.80

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Solution

The fourth proportional to 83,064.64, 114,628.80 and 45,338.80 is: 62,567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,064.64 : 114,628.80 = 45,338.80 : x
  2. Step 2: Convert to fraction form
    83,064.64/114,628.80 = 45,338.80/x
  3. Step 3: Cross multiply
    83,064.64x = 114,628.80 × 45,338.80
  4. Step 4: Simplify right side
    83,064.64x = 5,197,132,237.44
  5. Step 5: Solve for x
    x = 5,197,132,237.44/83,064.64
  6. Step 6: Final answer
    x = 62,567.32

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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.