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Finding the Fourth Proportional to 82,080, 113,270.40 and 59,742.72

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Solution

The fourth proportional to 82,080, 113,270.40 and 59,742.72 is: 82,444.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,080 : 113,270.40 = 59,742.72 : x
  2. Step 2: Convert to fraction form
    82,080/113,270.40 = 59,742.72/x
  3. Step 3: Cross multiply
    82,080x = 113,270.40 × 59,742.72
  4. Step 4: Simplify right side
    82,080x = 6,767,081,791.49
  5. Step 5: Solve for x
    x = 6,767,081,791.49/82,080
  6. Step 6: Final answer
    x = 82,444.95

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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.