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Finding the Fourth Proportional to 42,234.25, 58,277.50 and 25,234.88

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Solution

The fourth proportional to 42,234.25, 58,277.50 and 25,234.88 is: 34,820.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,234.25 : 58,277.50 = 25,234.88 : x
  2. Step 2: Convert to fraction form
    42,234.25/58,277.50 = 25,234.88/x
  3. Step 3: Cross multiply
    42,234.25x = 58,277.50 × 25,234.88
  4. Step 4: Simplify right side
    42,234.25x = 1,470,625,801.81
  5. Step 5: Solve for x
    x = 1,470,625,801.81/42,234.25
  6. Step 6: Final answer
    x = 34,820.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.