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Finding the Fourth Proportional to 29,647.92, 40,907.24 and 17,708.88

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Solution

The fourth proportional to 29,647.92, 40,907.24 and 17,708.88 is: 24,434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,647.92 : 40,907.24 = 17,708.88 : x
  2. Step 2: Convert to fraction form
    29,647.92/40,907.24 = 17,708.88/x
  3. Step 3: Cross multiply
    29,647.92x = 40,907.24 × 17,708.88
  4. Step 4: Simplify right side
    29,647.92x = 724,421,404.29
  5. Step 5: Solve for x
    x = 724,421,404.29/29,647.92
  6. Step 6: Final answer
    x = 24,434.14

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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.