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Finding the Fourth Proportional to 59,971.32, 82,767.44 and 49,881.96

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Solution

The fourth proportional to 59,971.32, 82,767.44 and 49,881.96 is: 68,842.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,971.32 : 82,767.44 = 49,881.96 : x
  2. Step 2: Convert to fraction form
    59,971.32/82,767.44 = 49,881.96/x
  3. Step 3: Cross multiply
    59,971.32x = 82,767.44 × 49,881.96
  4. Step 4: Simplify right side
    59,971.32x = 4,128,602,131.38
  5. Step 5: Solve for x
    x = 4,128,602,131.38/59,971.32
  6. Step 6: Final answer
    x = 68,842.94

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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.