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Finding the Fourth Proportional to 123,852.80, 185,788.31 and 38,452.47

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Solution

The fourth proportional to 123,852.80, 185,788.31 and 38,452.47 is: 57,681.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,852.80 : 185,788.31 = 38,452.47 : x
  2. Step 2: Convert to fraction form
    123,852.80/185,788.31 = 38,452.47/x
  3. Step 3: Cross multiply
    123,852.80x = 185,788.31 × 38,452.47
  4. Step 4: Simplify right side
    123,852.80x = 7,144,019,416.63
  5. Step 5: Solve for x
    x = 7,144,019,416.63/123,852.80
  6. Step 6: Final answer
    x = 57,681.53

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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.