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Finding the Fourth Proportional to 120,854, 181,291.24 and 33,302

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Solution

The fourth proportional to 120,854, 181,291.24 and 33,302 is: 49,955.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,854 : 181,291.24 = 33,302 : x
  2. Step 2: Convert to fraction form
    120,854/181,291.24 = 33,302/x
  3. Step 3: Cross multiply
    120,854x = 181,291.24 × 33,302
  4. Step 4: Simplify right side
    120,854x = 6,037,360,874.48
  5. Step 5: Solve for x
    x = 6,037,360,874.48/120,854
  6. Step 6: Final answer
    x = 49,955.82

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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.