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Finding the Fourth Proportional to 87,363, 120,570.66 and 53,829

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Solution

The fourth proportional to 87,363, 120,570.66 and 53,829 is: 74,290.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,363 : 120,570.66 = 53,829 : x
  2. Step 2: Convert to fraction form
    87,363/120,570.66 = 53,829/x
  3. Step 3: Cross multiply
    87,363x = 120,570.66 × 53,829
  4. Step 4: Simplify right side
    87,363x = 6,490,198,057.14
  5. Step 5: Solve for x
    x = 6,490,198,057.14/87,363
  6. Step 6: Final answer
    x = 74,290.01

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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.