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Finding the Fourth Proportional to 38,541.80, 57,783.90 and 21,031.40

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Solution

The fourth proportional to 38,541.80, 57,783.90 and 21,031.40 is: 31,531.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,541.80 : 57,783.90 = 21,031.40 : x
  2. Step 2: Convert to fraction form
    38,541.80/57,783.90 = 21,031.40/x
  3. Step 3: Cross multiply
    38,541.80x = 57,783.90 × 21,031.40
  4. Step 4: Simplify right side
    38,541.80x = 1,215,276,314.46
  5. Step 5: Solve for x
    x = 1,215,276,314.46/38,541.80
  6. Step 6: Final answer
    x = 31,531.38

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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.