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Finding the Fourth Proportional to 123,774.42, 185,671.44 and 35,028.48

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Solution

The fourth proportional to 123,774.42, 185,671.44 and 35,028.48 is: 52,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,774.42 : 185,671.44 = 35,028.48 : x
  2. Step 2: Convert to fraction form
    123,774.42/185,671.44 = 35,028.48/x
  3. Step 3: Cross multiply
    123,774.42x = 185,671.44 × 35,028.48
  4. Step 4: Simplify right side
    123,774.42x = 6,503,788,322.61
  5. Step 5: Solve for x
    x = 6,503,788,322.61/123,774.42
  6. Step 6: Final answer
    x = 52,545.50

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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.