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Finding the Fourth Proportional to 83,052, 124,501.32 and 33,120

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Solution

The fourth proportional to 83,052, 124,501.32 and 33,120 is: 49,649.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,052 : 124,501.32 = 33,120 : x
  2. Step 2: Convert to fraction form
    83,052/124,501.32 = 33,120/x
  3. Step 3: Cross multiply
    83,052x = 124,501.32 × 33,120
  4. Step 4: Simplify right side
    83,052x = 4,123,483,718.40
  5. Step 5: Solve for x
    x = 4,123,483,718.40/83,052
  6. Step 6: Final answer
    x = 49,649.42

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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.