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Finding the Fourth Proportional to 61,295.82, 84,587.58 and 34,071.78

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Solution

The fourth proportional to 61,295.82, 84,587.58 and 34,071.78 is: 47,018.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,295.82 : 84,587.58 = 34,071.78 : x
  2. Step 2: Convert to fraction form
    61,295.82/84,587.58 = 34,071.78/x
  3. Step 3: Cross multiply
    61,295.82x = 84,587.58 × 34,071.78
  4. Step 4: Simplify right side
    61,295.82x = 2,882,049,416.49
  5. Step 5: Solve for x
    x = 2,882,049,416.49/61,295.82
  6. Step 6: Final answer
    x = 47,018.69

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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.