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Finding the Fourth Proportional to 29,878.48, 41,232 and 16,449.76

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Solution

The fourth proportional to 29,878.48, 41,232 and 16,449.76 is: 22,700.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,878.48 : 41,232 = 16,449.76 : x
  2. Step 2: Convert to fraction form
    29,878.48/41,232 = 16,449.76/x
  3. Step 3: Cross multiply
    29,878.48x = 41,232 × 16,449.76
  4. Step 4: Simplify right side
    29,878.48x = 678,256,504.32
  5. Step 5: Solve for x
    x = 678,256,504.32/29,878.48
  6. Step 6: Final answer
    x = 22,700.50

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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.