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Finding the Fourth Proportional to 30,235, 41,728.24 and 18,298.54

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Solution

The fourth proportional to 30,235, 41,728.24 and 18,298.54 is: 25,254.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,235 : 41,728.24 = 18,298.54 : x
  2. Step 2: Convert to fraction form
    30,235/41,728.24 = 18,298.54/x
  3. Step 3: Cross multiply
    30,235x = 41,728.24 × 18,298.54
  4. Step 4: Simplify right side
    30,235x = 763,565,868.77
  5. Step 5: Solve for x
    x = 763,565,868.77/30,235
  6. Step 6: Final answer
    x = 25,254.37

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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.