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Finding the Fourth Proportional to 30,822.42, 42,535.02 and 16,675.26

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Solution

The fourth proportional to 30,822.42, 42,535.02 and 16,675.26 is: 23,011.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,822.42 : 42,535.02 = 16,675.26 : x
  2. Step 2: Convert to fraction form
    30,822.42/42,535.02 = 16,675.26/x
  3. Step 3: Cross multiply
    30,822.42x = 42,535.02 × 16,675.26
  4. Step 4: Simplify right side
    30,822.42x = 709,282,517.61
  5. Step 5: Solve for x
    x = 709,282,517.61/30,822.42
  6. Step 6: Final answer
    x = 23,011.90

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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.