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Finding the Fourth Proportional to 61,206.88, 84,458.56 and 34,343.84

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Solution

The fourth proportional to 61,206.88, 84,458.56 and 34,343.84 is: 47,390.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,206.88 : 84,458.56 = 34,343.84 : x
  2. Step 2: Convert to fraction form
    61,206.88/84,458.56 = 34,343.84/x
  3. Step 3: Cross multiply
    61,206.88x = 84,458.56 × 34,343.84
  4. Step 4: Simplify right side
    61,206.88x = 2,900,631,271.27
  5. Step 5: Solve for x
    x = 2,900,631,271.27/61,206.88
  6. Step 6: Final answer
    x = 47,390.61

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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.