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Finding the Fourth Proportional to 113,776.47, 170,692.06 and 43,655.78

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Solution

The fourth proportional to 113,776.47, 170,692.06 and 43,655.78 is: 65,494.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,776.47 : 170,692.06 = 43,655.78 : x
  2. Step 2: Convert to fraction form
    113,776.47/170,692.06 = 43,655.78/x
  3. Step 3: Cross multiply
    113,776.47x = 170,692.06 × 43,655.78
  4. Step 4: Simplify right side
    113,776.47x = 7,451,695,019.11
  5. Step 5: Solve for x
    x = 7,451,695,019.11/113,776.47
  6. Step 6: Final answer
    x = 65,494.17

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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.