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Finding the Fourth Proportional to 30,652.98, 42,301.08 and 17,914.92

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Solution

The fourth proportional to 30,652.98, 42,301.08 and 17,914.92 is: 24,722.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,652.98 : 42,301.08 = 17,914.92 : x
  2. Step 2: Convert to fraction form
    30,652.98/42,301.08 = 17,914.92/x
  3. Step 3: Cross multiply
    30,652.98x = 42,301.08 × 17,914.92
  4. Step 4: Simplify right side
    30,652.98x = 757,820,464.11
  5. Step 5: Solve for x
    x = 757,820,464.11/30,652.98
  6. Step 6: Final answer
    x = 24,722.57

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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.