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Finding the Fourth Proportional to 30,970.92, 42,738.66 and 17,542.92

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Solution

The fourth proportional to 30,970.92, 42,738.66 and 17,542.92 is: 24,208.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970.92 : 42,738.66 = 17,542.92 : x
  2. Step 2: Convert to fraction form
    30,970.92/42,738.66 = 17,542.92/x
  3. Step 3: Cross multiply
    30,970.92x = 42,738.66 × 17,542.92
  4. Step 4: Simplify right side
    30,970.92x = 749,760,893.29
  5. Step 5: Solve for x
    x = 749,760,893.29/30,970.92
  6. Step 6: Final answer
    x = 24,208.54

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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.