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Finding the Fourth Proportional to 122,569.80, 183,832.78 and 32,613

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Solution

The fourth proportional to 122,569.80, 183,832.78 and 32,613 is: 48,913.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,569.80 : 183,832.78 = 32,613 : x
  2. Step 2: Convert to fraction form
    122,569.80/183,832.78 = 32,613/x
  3. Step 3: Cross multiply
    122,569.80x = 183,832.78 × 32,613
  4. Step 4: Simplify right side
    122,569.80x = 5,995,338,454.14
  5. Step 5: Solve for x
    x = 5,995,338,454.14/122,569.80
  6. Step 6: Final answer
    x = 48,913.67

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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.