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Finding the Fourth Proportional to 82,858.11, 114,345.45 and 45,132.36

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Solution

The fourth proportional to 82,858.11, 114,345.45 and 45,132.36 is: 62,283.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,858.11 : 114,345.45 = 45,132.36 : x
  2. Step 2: Convert to fraction form
    82,858.11/114,345.45 = 45,132.36/x
  3. Step 3: Cross multiply
    82,858.11x = 114,345.45 × 45,132.36
  4. Step 4: Simplify right side
    82,858.11x = 5,160,680,013.76
  5. Step 5: Solve for x
    x = 5,160,680,013.76/82,858.11
  6. Step 6: Final answer
    x = 62,283.34

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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.