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Finding the Fourth Proportional to 61,199.66, 84,454.74 and 34,342.70

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Solution

The fourth proportional to 61,199.66, 84,454.74 and 34,342.70 is: 47,392.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,199.66 : 84,454.74 = 34,342.70 : x
  2. Step 2: Convert to fraction form
    61,199.66/84,454.74 = 34,342.70/x
  3. Step 3: Cross multiply
    61,199.66x = 84,454.74 × 34,342.70
  4. Step 4: Simplify right side
    61,199.66x = 2,900,403,799.40
  5. Step 5: Solve for x
    x = 2,900,403,799.40/61,199.66
  6. Step 6: Final answer
    x = 47,392.48

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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.