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Finding the Fourth Proportional to 59,649.16, 89,476.46 and 42,197

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Solution

The fourth proportional to 59,649.16, 89,476.46 and 42,197 is: 63,297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,649.16 : 89,476.46 = 42,197 : x
  2. Step 2: Convert to fraction form
    59,649.16/89,476.46 = 42,197/x
  3. Step 3: Cross multiply
    59,649.16x = 89,476.46 × 42,197
  4. Step 4: Simplify right side
    59,649.16x = 3,775,638,182.62
  5. Step 5: Solve for x
    x = 3,775,638,182.62/59,649.16
  6. Step 6: Final answer
    x = 63,297.42

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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.