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Finding the Fourth Proportional to 123,776.92, 185,675.19 and 35,030.98

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Solution

The fourth proportional to 123,776.92, 185,675.19 and 35,030.98 is: 52,549.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,776.92 : 185,675.19 = 35,030.98 : x
  2. Step 2: Convert to fraction form
    123,776.92/185,675.19 = 35,030.98/x
  3. Step 3: Cross multiply
    123,776.92x = 185,675.19 × 35,030.98
  4. Step 4: Simplify right side
    123,776.92x = 6,504,383,867.39
  5. Step 5: Solve for x
    x = 6,504,383,867.39/123,776.92
  6. Step 6: Final answer
    x = 52,549.25

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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.