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Finding the Fourth Proportional to 42,998.52, 59,334.71 and 24,132

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Solution

The fourth proportional to 42,998.52, 59,334.71 and 24,132 is: 33,300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,998.52 : 59,334.71 = 24,132 : x
  2. Step 2: Convert to fraction form
    42,998.52/59,334.71 = 24,132/x
  3. Step 3: Cross multiply
    42,998.52x = 59,334.71 × 24,132
  4. Step 4: Simplify right side
    42,998.52x = 1,431,865,101.06
  5. Step 5: Solve for x
    x = 1,431,865,101.06/42,998.52
  6. Step 6: Final answer
    x = 33,300.33

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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.