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Finding the Fourth Proportional to 49,887.32, 74,835 and 14,827

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Solution

The fourth proportional to 49,887.32, 74,835 and 14,827 is: 22,241.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,887.32 : 74,835 = 14,827 : x
  2. Step 2: Convert to fraction form
    49,887.32/74,835 = 14,827/x
  3. Step 3: Cross multiply
    49,887.32x = 74,835 × 14,827
  4. Step 4: Simplify right side
    49,887.32x = 1,109,578,545
  5. Step 5: Solve for x
    x = 1,109,578,545/49,887.32
  6. Step 6: Final answer
    x = 22,241.69

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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.