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Finding the Fourth Proportional to 42,706.38, 58,937.04 and 23,842.38

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Solution

The fourth proportional to 42,706.38, 58,937.04 and 23,842.38 is: 32,903.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,706.38 : 58,937.04 = 23,842.38 : x
  2. Step 2: Convert to fraction form
    42,706.38/58,937.04 = 23,842.38/x
  3. Step 3: Cross multiply
    42,706.38x = 58,937.04 × 23,842.38
  4. Step 4: Simplify right side
    42,706.38x = 1,405,199,303.76
  5. Step 5: Solve for x
    x = 1,405,199,303.76/42,706.38
  6. Step 6: Final answer
    x = 32,903.73

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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.