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Finding the Fourth Proportional to 31,946.32, 44,084.08 and 18,331.48

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Solution

The fourth proportional to 31,946.32, 44,084.08 and 18,331.48 is: 25,296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,946.32 : 44,084.08 = 18,331.48 : x
  2. Step 2: Convert to fraction form
    31,946.32/44,084.08 = 18,331.48/x
  3. Step 3: Cross multiply
    31,946.32x = 44,084.08 × 18,331.48
  4. Step 4: Simplify right side
    31,946.32x = 808,126,430.84
  5. Step 5: Solve for x
    x = 808,126,430.84/31,946.32
  6. Step 6: Final answer
    x = 25,296.39

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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.