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Finding the Fourth Proportional to 60,850, 83,973 and 34,354

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Solution

The fourth proportional to 60,850, 83,973 and 34,354 is: 47,408.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,850 : 83,973 = 34,354 : x
  2. Step 2: Convert to fraction form
    60,850/83,973 = 34,354/x
  3. Step 3: Cross multiply
    60,850x = 83,973 × 34,354
  4. Step 4: Simplify right side
    60,850x = 2,884,808,442
  5. Step 5: Solve for x
    x = 2,884,808,442/60,850
  6. Step 6: Final answer
    x = 47,408.52

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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.