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Finding the Fourth Proportional to 29,507.02, 40,721.03 and 17,407.96

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Solution

The fourth proportional to 29,507.02, 40,721.03 and 17,407.96 is: 24,023.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,507.02 : 40,721.03 = 17,407.96 : x
  2. Step 2: Convert to fraction form
    29,507.02/40,721.03 = 17,407.96/x
  3. Step 3: Cross multiply
    29,507.02x = 40,721.03 × 17,407.96
  4. Step 4: Simplify right side
    29,507.02x = 708,869,937.84
  5. Step 5: Solve for x
    x = 708,869,937.84/29,507.02
  6. Step 6: Final answer
    x = 24,023.77

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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.