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Finding the Fourth Proportional to 49,869, 74,822.13 and 20,294.28

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Solution

The fourth proportional to 49,869, 74,822.13 and 20,294.28 is: 30,449.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,869 : 74,822.13 = 20,294.28 : x
  2. Step 2: Convert to fraction form
    49,869/74,822.13 = 20,294.28/x
  3. Step 3: Cross multiply
    49,869x = 74,822.13 × 20,294.28
  4. Step 4: Simplify right side
    49,869x = 1,518,461,256.42
  5. Step 5: Solve for x
    x = 1,518,461,256.42/49,869
  6. Step 6: Final answer
    x = 30,449.00

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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.