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Finding the Fourth Proportional to 42,233.76, 58,284 and 25,237.44

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Solution

The fourth proportional to 42,233.76, 58,284 and 25,237.44 is: 34,828.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,233.76 : 58,284 = 25,237.44 : x
  2. Step 2: Convert to fraction form
    42,233.76/58,284 = 25,237.44/x
  3. Step 3: Cross multiply
    42,233.76x = 58,284 × 25,237.44
  4. Step 4: Simplify right side
    42,233.76x = 1,470,938,952.96
  5. Step 5: Solve for x
    x = 1,470,938,952.96/42,233.76
  6. Step 6: Final answer
    x = 34,828.51

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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.