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Finding the Fourth Proportional to 29,657.34, 40,923.90 and 17,719.02

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Solution

The fourth proportional to 29,657.34, 40,923.90 and 17,719.02 is: 24,450.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,657.34 : 40,923.90 = 17,719.02 : x
  2. Step 2: Convert to fraction form
    29,657.34/40,923.90 = 17,719.02/x
  3. Step 3: Cross multiply
    29,657.34x = 40,923.90 × 17,719.02
  4. Step 4: Simplify right side
    29,657.34x = 725,131,402.58
  5. Step 5: Solve for x
    x = 725,131,402.58/29,657.34
  6. Step 6: Final answer
    x = 24,450.32

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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.