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Finding the Fourth Proportional to 59,862, 89,827.24 and 30,282.24

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Solution

The fourth proportional to 59,862, 89,827.24 and 30,282.24 is: 45,440.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,862 : 89,827.24 = 30,282.24 : x
  2. Step 2: Convert to fraction form
    59,862/89,827.24 = 30,282.24/x
  3. Step 3: Cross multiply
    59,862x = 89,827.24 × 30,282.24
  4. Step 4: Simplify right side
    59,862x = 2,720,170,040.22
  5. Step 5: Solve for x
    x = 2,720,170,040.22/59,862
  6. Step 6: Final answer
    x = 45,440.68

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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.