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Finding the Fourth Proportional to 123,930.84, 185,895.86 and 35,184.40

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Solution

The fourth proportional to 123,930.84, 185,895.86 and 35,184.40 is: 52,776.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,930.84 : 185,895.86 = 35,184.40 : x
  2. Step 2: Convert to fraction form
    123,930.84/185,895.86 = 35,184.40/x
  3. Step 3: Cross multiply
    123,930.84x = 185,895.86 × 35,184.40
  4. Step 4: Simplify right side
    123,930.84x = 6,540,634,296.58
  5. Step 5: Solve for x
    x = 6,540,634,296.58/123,930.84
  6. Step 6: Final answer
    x = 52,776.49

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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.