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Finding the Fourth Proportional to 38,277.38, 52,823.05 and 21,510.38

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Solution

The fourth proportional to 38,277.38, 52,823.05 and 21,510.38 is: 29,684.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,277.38 : 52,823.05 = 21,510.38 : x
  2. Step 2: Convert to fraction form
    38,277.38/52,823.05 = 21,510.38/x
  3. Step 3: Cross multiply
    38,277.38x = 52,823.05 × 21,510.38
  4. Step 4: Simplify right side
    38,277.38x = 1,136,243,560.37
  5. Step 5: Solve for x
    x = 1,136,243,560.37/38,277.38
  6. Step 6: Final answer
    x = 29,684.47

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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.