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Finding the Fourth Proportional to 30,870.12, 42,683.58 and 29,451

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Solution

The fourth proportional to 30,870.12, 42,683.58 and 29,451 is: 40,721.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,870.12 : 42,683.58 = 29,451 : x
  2. Step 2: Convert to fraction form
    30,870.12/42,683.58 = 29,451/x
  3. Step 3: Cross multiply
    30,870.12x = 42,683.58 × 29,451
  4. Step 4: Simplify right side
    30,870.12x = 1,257,074,114.58
  5. Step 5: Solve for x
    x = 1,257,074,114.58/30,870.12
  6. Step 6: Final answer
    x = 40,721.39

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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.