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Finding the Fourth Proportional to 42,954.58, 64,416.41 and 14,867

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Solution

The fourth proportional to 42,954.58, 64,416.41 and 14,867 is: 22,295.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,954.58 : 64,416.41 = 14,867 : x
  2. Step 2: Convert to fraction form
    42,954.58/64,416.41 = 14,867/x
  3. Step 3: Cross multiply
    42,954.58x = 64,416.41 × 14,867
  4. Step 4: Simplify right side
    42,954.58x = 957,678,767.47
  5. Step 5: Solve for x
    x = 957,678,767.47/42,954.58
  6. Step 6: Final answer
    x = 22,295.15

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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.