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Finding the Fourth Proportional to 42,138.72, 58,146.48 and 23,274.72

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Solution

The fourth proportional to 42,138.72, 58,146.48 and 23,274.72 is: 32,116.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,138.72 : 58,146.48 = 23,274.72 : x
  2. Step 2: Convert to fraction form
    42,138.72/58,146.48 = 23,274.72/x
  3. Step 3: Cross multiply
    42,138.72x = 58,146.48 × 23,274.72
  4. Step 4: Simplify right side
    42,138.72x = 1,353,343,040.99
  5. Step 5: Solve for x
    x = 1,353,343,040.99/42,138.72
  6. Step 6: Final answer
    x = 32,116.38

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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.