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Finding the Fourth Proportional to 38,466.92, 53,085.30 and 21,701

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Solution

The fourth proportional to 38,466.92, 53,085.30 and 21,701 is: 29,947.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,466.92 : 53,085.30 = 21,701 : x
  2. Step 2: Convert to fraction form
    38,466.92/53,085.30 = 21,701/x
  3. Step 3: Cross multiply
    38,466.92x = 53,085.30 × 21,701
  4. Step 4: Simplify right side
    38,466.92x = 1,152,004,095.30
  5. Step 5: Solve for x
    x = 1,152,004,095.30/38,466.92
  6. Step 6: Final answer
    x = 29,947.92

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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.