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Finding the Fourth Proportional to 42,125.96, 58,133.86 and 23,006

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Solution

The fourth proportional to 42,125.96, 58,133.86 and 23,006 is: 31,748.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,125.96 : 58,133.86 = 23,006 : x
  2. Step 2: Convert to fraction form
    42,125.96/58,133.86 = 23,006/x
  3. Step 3: Cross multiply
    42,125.96x = 58,133.86 × 23,006
  4. Step 4: Simplify right side
    42,125.96x = 1,337,427,583.16
  5. Step 5: Solve for x
    x = 1,337,427,583.16/42,125.96
  6. Step 6: Final answer
    x = 31,748.30

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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.