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Finding the Fourth Proportional to 90,547.88, 135,829.31 and 28,218.38

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Solution

The fourth proportional to 90,547.88, 135,829.31 and 28,218.38 is: 42,329.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,547.88 : 135,829.31 = 28,218.38 : x
  2. Step 2: Convert to fraction form
    90,547.88/135,829.31 = 28,218.38/x
  3. Step 3: Cross multiply
    90,547.88x = 135,829.31 × 28,218.38
  4. Step 4: Simplify right side
    90,547.88x = 3,832,882,264.48
  5. Step 5: Solve for x
    x = 3,832,882,264.48/90,547.88
  6. Step 6: Final answer
    x = 42,329.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.