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Finding the Fourth Proportional to 82,754.55, 114,186.17 and 54,066.58

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Solution

The fourth proportional to 82,754.55, 114,186.17 and 54,066.58 is: 74,602.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,754.55 : 114,186.17 = 54,066.58 : x
  2. Step 2: Convert to fraction form
    82,754.55/114,186.17 = 54,066.58/x
  3. Step 3: Cross multiply
    82,754.55x = 114,186.17 × 54,066.58
  4. Step 4: Simplify right side
    82,754.55x = 6,173,655,695.20
  5. Step 5: Solve for x
    x = 6,173,655,695.20/82,754.55
  6. Step 6: Final answer
    x = 74,602.01

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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.