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Finding the Fourth Proportional to 122,595.66, 183,893.22 and 32,638.40

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Solution

The fourth proportional to 122,595.66, 183,893.22 and 32,638.40 is: 48,957.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,595.66 : 183,893.22 = 32,638.40 : x
  2. Step 2: Convert to fraction form
    122,595.66/183,893.22 = 32,638.40/x
  3. Step 3: Cross multiply
    122,595.66x = 183,893.22 × 32,638.40
  4. Step 4: Simplify right side
    122,595.66x = 6,001,980,471.65
  5. Step 5: Solve for x
    x = 6,001,980,471.65/122,595.66
  6. Step 6: Final answer
    x = 48,957.53

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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.