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Finding the Fourth Proportional to 43,098.25, 59,475 and 24,235.42

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Solution

The fourth proportional to 43,098.25, 59,475 and 24,235.42 is: 33,444.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,098.25 : 59,475 = 24,235.42 : x
  2. Step 2: Convert to fraction form
    43,098.25/59,475 = 24,235.42/x
  3. Step 3: Cross multiply
    43,098.25x = 59,475 × 24,235.42
  4. Step 4: Simplify right side
    43,098.25x = 1,441,401,604.50
  5. Step 5: Solve for x
    x = 1,441,401,604.50/43,098.25
  6. Step 6: Final answer
    x = 33,444.55

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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.