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Finding the Fourth Proportional to 82,813.52, 114,282.92 and 45,088

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Solution

The fourth proportional to 82,813.52, 114,282.92 and 45,088 is: 62,221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,813.52 : 114,282.92 = 45,088 : x
  2. Step 2: Convert to fraction form
    82,813.52/114,282.92 = 45,088/x
  3. Step 3: Cross multiply
    82,813.52x = 114,282.92 × 45,088
  4. Step 4: Simplify right side
    82,813.52x = 5,152,788,296.96
  5. Step 5: Solve for x
    x = 5,152,788,296.96/82,813.52
  6. Step 6: Final answer
    x = 62,221.58

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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.