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Finding the Fourth Proportional to 123,904.86, 185,841.33 and 39,657.90

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Solution

The fourth proportional to 123,904.86, 185,841.33 and 39,657.90 is: 59,481.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,904.86 : 185,841.33 = 39,657.90 : x
  2. Step 2: Convert to fraction form
    123,904.86/185,841.33 = 39,657.90/x
  3. Step 3: Cross multiply
    123,904.86x = 185,841.33 × 39,657.90
  4. Step 4: Simplify right side
    123,904.86x = 7,370,076,881.01
  5. Step 5: Solve for x
    x = 7,370,076,881.01/123,904.86
  6. Step 6: Final answer
    x = 59,481.74

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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.