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Finding the Fourth Proportional to 72,093.32, 99,473.57 and 41,863

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Solution

The fourth proportional to 72,093.32, 99,473.57 and 41,863 is: 57,762.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,093.32 : 99,473.57 = 41,863 : x
  2. Step 2: Convert to fraction form
    72,093.32/99,473.57 = 41,863/x
  3. Step 3: Cross multiply
    72,093.32x = 99,473.57 × 41,863
  4. Step 4: Simplify right side
    72,093.32x = 4,164,262,060.91
  5. Step 5: Solve for x
    x = 4,164,262,060.91/72,093.32
  6. Step 6: Final answer
    x = 57,762.11

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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.