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Finding the Fourth Proportional to 30,238.50, 41,723.02 and 17,660.82

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Solution

The fourth proportional to 30,238.50, 41,723.02 and 17,660.82 is: 24,368.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,238.50 : 41,723.02 = 17,660.82 : x
  2. Step 2: Convert to fraction form
    30,238.50/41,723.02 = 17,660.82/x
  3. Step 3: Cross multiply
    30,238.50x = 41,723.02 × 17,660.82
  4. Step 4: Simplify right side
    30,238.50x = 736,862,746.08
  5. Step 5: Solve for x
    x = 736,862,746.08/30,238.50
  6. Step 6: Final answer
    x = 24,368.36

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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.