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Finding the Fourth Proportional to 38,510.40, 57,784.80 and 21,883.20

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Solution

The fourth proportional to 38,510.40, 57,784.80 and 21,883.20 is: 32,835.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,510.40 : 57,784.80 = 21,883.20 : x
  2. Step 2: Convert to fraction form
    38,510.40/57,784.80 = 21,883.20/x
  3. Step 3: Cross multiply
    38,510.40x = 57,784.80 × 21,883.20
  4. Step 4: Simplify right side
    38,510.40x = 1,264,516,335.36
  5. Step 5: Solve for x
    x = 1,264,516,335.36/38,510.40
  6. Step 6: Final answer
    x = 32,835.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.