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Finding the Fourth Proportional to 38,506.40, 53,138.28 and 21,510.92

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Solution

The fourth proportional to 38,506.40, 53,138.28 and 21,510.92 is: 29,684.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,506.40 : 53,138.28 = 21,510.92 : x
  2. Step 2: Convert to fraction form
    38,506.40/53,138.28 = 21,510.92/x
  3. Step 3: Cross multiply
    38,506.40x = 53,138.28 × 21,510.92
  4. Step 4: Simplify right side
    38,506.40x = 1,143,053,290.02
  5. Step 5: Solve for x
    x = 1,143,053,290.02/38,506.40
  6. Step 6: Final answer
    x = 29,684.76

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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.