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Finding the Fourth Proportional to 82,788.30, 114,244.56 and 45,062.55

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Solution

The fourth proportional to 82,788.30, 114,244.56 and 45,062.55 is: 62,184.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,788.30 : 114,244.56 = 45,062.55 : x
  2. Step 2: Convert to fraction form
    82,788.30/114,244.56 = 45,062.55/x
  3. Step 3: Cross multiply
    82,788.30x = 114,244.56 × 45,062.55
  4. Step 4: Simplify right side
    82,788.30x = 5,148,151,197.23
  5. Step 5: Solve for x
    x = 5,148,151,197.23/82,788.30
  6. Step 6: Final answer
    x = 62,184.53

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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.