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Finding the Fourth Proportional to 35,138.04, 48,488.82 and 20,031.40

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Solution

The fourth proportional to 35,138.04, 48,488.82 and 20,031.40 is: 27,642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,138.04 : 48,488.82 = 20,031.40 : x
  2. Step 2: Convert to fraction form
    35,138.04/48,488.82 = 20,031.40/x
  3. Step 3: Cross multiply
    35,138.04x = 48,488.82 × 20,031.40
  4. Step 4: Simplify right side
    35,138.04x = 971,298,948.95
  5. Step 5: Solve for x
    x = 971,298,948.95/35,138.04
  6. Step 6: Final answer
    x = 27,642.38

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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.