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Finding the Fourth Proportional to 30,924, 42,675.12 and 17,494.98

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Solution

The fourth proportional to 30,924, 42,675.12 and 17,494.98 is: 24,143.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,924 : 42,675.12 = 17,494.98 : x
  2. Step 2: Convert to fraction form
    30,924/42,675.12 = 17,494.98/x
  3. Step 3: Cross multiply
    30,924x = 42,675.12 × 17,494.98
  4. Step 4: Simplify right side
    30,924x = 746,600,370.90
  5. Step 5: Solve for x
    x = 746,600,370.90/30,924
  6. Step 6: Final answer
    x = 24,143.07

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1.5x scale

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.