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Finding the Fourth Proportional to 82,607.70, 114,016.86 and 54,316.02

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Solution

The fourth proportional to 82,607.70, 114,016.86 and 54,316.02 is: 74,968.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,607.70 : 114,016.86 = 54,316.02 : x
  2. Step 2: Convert to fraction form
    82,607.70/114,016.86 = 54,316.02/x
  3. Step 3: Cross multiply
    82,607.70x = 114,016.86 × 54,316.02
  4. Step 4: Simplify right side
    82,607.70x = 6,192,942,048.10
  5. Step 5: Solve for x
    x = 6,192,942,048.10/82,607.70
  6. Step 6: Final answer
    x = 74,968.10

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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.