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Finding the Fourth Proportional to 78,440.72, 108,257.64 and 44,906

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Solution

The fourth proportional to 78,440.72, 108,257.64 and 44,906 is: 61,975.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,440.72 : 108,257.64 = 44,906 : x
  2. Step 2: Convert to fraction form
    78,440.72/108,257.64 = 44,906/x
  3. Step 3: Cross multiply
    78,440.72x = 108,257.64 × 44,906
  4. Step 4: Simplify right side
    78,440.72x = 4,861,417,581.84
  5. Step 5: Solve for x
    x = 4,861,417,581.84/78,440.72
  6. Step 6: Final answer
    x = 61,975.69

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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.