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Finding the Fourth Proportional to 122,357.50, 183,514.30 and 32,400.78

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Solution

The fourth proportional to 122,357.50, 183,514.30 and 32,400.78 is: 48,595.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,357.50 : 183,514.30 = 32,400.78 : x
  2. Step 2: Convert to fraction form
    122,357.50/183,514.30 = 32,400.78/x
  3. Step 3: Cross multiply
    122,357.50x = 183,514.30 × 32,400.78
  4. Step 4: Simplify right side
    122,357.50x = 5,946,006,461.15
  5. Step 5: Solve for x
    x = 5,946,006,461.15/122,357.50
  6. Step 6: Final answer
    x = 48,595.36

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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.