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Finding the Fourth Proportional to 42,710.88, 58,943.62 and 23,848

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Solution

The fourth proportional to 42,710.88, 58,943.62 and 23,848 is: 32,911.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,710.88 : 58,943.62 = 23,848 : x
  2. Step 2: Convert to fraction form
    42,710.88/58,943.62 = 23,848/x
  3. Step 3: Cross multiply
    42,710.88x = 58,943.62 × 23,848
  4. Step 4: Simplify right side
    42,710.88x = 1,405,687,449.76
  5. Step 5: Solve for x
    x = 1,405,687,449.76/42,710.88
  6. Step 6: Final answer
    x = 32,911.69

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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.