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Finding the Fourth Proportional to 38,277.52, 52,822.74 and 21,510.52

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Solution

The fourth proportional to 38,277.52, 52,822.74 and 21,510.52 is: 29,684.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,277.52 : 52,822.74 = 21,510.52 : x
  2. Step 2: Convert to fraction form
    38,277.52/52,822.74 = 21,510.52/x
  3. Step 3: Cross multiply
    38,277.52x = 52,822.74 × 21,510.52
  4. Step 4: Simplify right side
    38,277.52x = 1,136,244,605.22
  5. Step 5: Solve for x
    x = 1,136,244,605.22/38,277.52
  6. Step 6: Final answer
    x = 29,684.38

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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.