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Finding the Fourth Proportional to 38,775.30, 53,510.40 and 22,858.80

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Solution

The fourth proportional to 38,775.30, 53,510.40 and 22,858.80 is: 31,545.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,775.30 : 53,510.40 = 22,858.80 : x
  2. Step 2: Convert to fraction form
    38,775.30/53,510.40 = 22,858.80/x
  3. Step 3: Cross multiply
    38,775.30x = 53,510.40 × 22,858.80
  4. Step 4: Simplify right side
    38,775.30x = 1,223,183,531.52
  5. Step 5: Solve for x
    x = 1,223,183,531.52/38,775.30
  6. Step 6: Final answer
    x = 31,545.43

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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.