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Finding the Fourth Proportional to 74,398, 102,669.24 and 40,864

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Solution

The fourth proportional to 74,398, 102,669.24 and 40,864 is: 56,392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,398 : 102,669.24 = 40,864 : x
  2. Step 2: Convert to fraction form
    74,398/102,669.24 = 40,864/x
  3. Step 3: Cross multiply
    74,398x = 102,669.24 × 40,864
  4. Step 4: Simplify right side
    74,398x = 4,195,475,823.36
  5. Step 5: Solve for x
    x = 4,195,475,823.36/74,398
  6. Step 6: Final answer
    x = 56,392.32

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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.