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Finding the Fourth Proportional to 123,352.76, 185,046.60 and 37,970.66

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Solution

The fourth proportional to 123,352.76, 185,046.60 and 37,970.66 is: 56,961.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,352.76 : 185,046.60 = 37,970.66 : x
  2. Step 2: Convert to fraction form
    123,352.76/185,046.60 = 37,970.66/x
  3. Step 3: Cross multiply
    123,352.76x = 185,046.60 × 37,970.66
  4. Step 4: Simplify right side
    123,352.76x = 7,026,341,532.76
  5. Step 5: Solve for x
    x = 7,026,341,532.76/123,352.76
  6. Step 6: Final answer
    x = 56,961.36

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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.