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Finding the Fourth Proportional to 29,034, 40,066.92 and 16,459.56

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Solution

The fourth proportional to 29,034, 40,066.92 and 16,459.56 is: 22,714.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,034 : 40,066.92 = 16,459.56 : x
  2. Step 2: Convert to fraction form
    29,034/40,066.92 = 16,459.56/x
  3. Step 3: Cross multiply
    29,034x = 40,066.92 × 16,459.56
  4. Step 4: Simplify right side
    29,034x = 659,483,873.76
  5. Step 5: Solve for x
    x = 659,483,873.76/29,034
  6. Step 6: Final answer
    x = 22,714.19

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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.