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Finding the Fourth Proportional to 59,509.26, 89,260.20 and 24,448

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Solution

The fourth proportional to 59,509.26, 89,260.20 and 24,448 is: 36,670.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,509.26 : 89,260.20 = 24,448 : x
  2. Step 2: Convert to fraction form
    59,509.26/89,260.20 = 24,448/x
  3. Step 3: Cross multiply
    59,509.26x = 89,260.20 × 24,448
  4. Step 4: Simplify right side
    59,509.26x = 2,182,233,369.60
  5. Step 5: Solve for x
    x = 2,182,233,369.60/59,509.26
  6. Step 6: Final answer
    x = 36,670.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.