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Finding the Fourth Proportional to 58,961.80, 81,368.74 and 32,105.78

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Solution

The fourth proportional to 58,961.80, 81,368.74 and 32,105.78 is: 44,306.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,961.80 : 81,368.74 = 32,105.78 : x
  2. Step 2: Convert to fraction form
    58,961.80/81,368.74 = 32,105.78/x
  3. Step 3: Cross multiply
    58,961.80x = 81,368.74 × 32,105.78
  4. Step 4: Simplify right side
    58,961.80x = 2,612,406,865.32
  5. Step 5: Solve for x
    x = 2,612,406,865.32/58,961.80
  6. Step 6: Final answer
    x = 44,306.77

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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.