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Finding the Fourth Proportional to 87,547.70, 130,488.74 and 82,564.98

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Solution

The fourth proportional to 87,547.70, 130,488.74 and 82,564.98 is: 123,062.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,547.70 : 130,488.74 = 82,564.98 : x
  2. Step 2: Convert to fraction form
    87,547.70/130,488.74 = 82,564.98/x
  3. Step 3: Cross multiply
    87,547.70x = 130,488.74 × 82,564.98
  4. Step 4: Simplify right side
    87,547.70x = 10,773,800,208.33
  5. Step 5: Solve for x
    x = 10,773,800,208.33/87,547.70
  6. Step 6: Final answer
    x = 123,062.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.