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Finding the Fourth Proportional to 53,280.72, 73,479.94 and 34,398

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Solution

The fourth proportional to 53,280.72, 73,479.94 and 34,398 is: 47,438.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,280.72 : 73,479.94 = 34,398 : x
  2. Step 2: Convert to fraction form
    53,280.72/73,479.94 = 34,398/x
  3. Step 3: Cross multiply
    53,280.72x = 73,479.94 × 34,398
  4. Step 4: Simplify right side
    53,280.72x = 2,527,562,976.12
  5. Step 5: Solve for x
    x = 2,527,562,976.12/53,280.72
  6. Step 6: Final answer
    x = 47,438.60

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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.