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Finding the Fourth Proportional to 48,230.34, 72,052.11 and 31,224.81

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Solution

The fourth proportional to 48,230.34, 72,052.11 and 31,224.81 is: 46,647.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,230.34 : 72,052.11 = 31,224.81 : x
  2. Step 2: Convert to fraction form
    48,230.34/72,052.11 = 31,224.81/x
  3. Step 3: Cross multiply
    48,230.34x = 72,052.11 × 31,224.81
  4. Step 4: Simplify right side
    48,230.34x = 2,249,813,444.85
  5. Step 5: Solve for x
    x = 2,249,813,444.85/48,230.34
  6. Step 6: Final answer
    x = 46,647.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.