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Finding the Fourth Proportional to 121,511.48, 182,267.22 and 38,399

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Solution

The fourth proportional to 121,511.48, 182,267.22 and 38,399 is: 57,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,511.48 : 182,267.22 = 38,399 : x
  2. Step 2: Convert to fraction form
    121,511.48/182,267.22 = 38,399/x
  3. Step 3: Cross multiply
    121,511.48x = 182,267.22 × 38,399
  4. Step 4: Simplify right side
    121,511.48x = 6,998,878,980.78
  5. Step 5: Solve for x
    x = 6,998,878,980.78/121,511.48
  6. Step 6: Final answer
    x = 57,598.50

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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.