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Finding the Fourth Proportional to 77,209.05, 106,539.53 and 43,219.38

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Solution

The fourth proportional to 77,209.05, 106,539.53 and 43,219.38 is: 59,637.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,209.05 : 106,539.53 = 43,219.38 : x
  2. Step 2: Convert to fraction form
    77,209.05/106,539.53 = 43,219.38/x
  3. Step 3: Cross multiply
    77,209.05x = 106,539.53 × 43,219.38
  4. Step 4: Simplify right side
    77,209.05x = 4,604,572,215.99
  5. Step 5: Solve for x
    x = 4,604,572,215.99/77,209.05
  6. Step 6: Final answer
    x = 59,637.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.