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Finding the Fourth Proportional to 31,194.81, 46,787.03 and 9,002.23

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Solution

The fourth proportional to 31,194.81, 46,787.03 and 9,002.23 is: 13,501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,194.81 : 46,787.03 = 9,002.23 : x
  2. Step 2: Convert to fraction form
    31,194.81/46,787.03 = 9,002.23/x
  3. Step 3: Cross multiply
    31,194.81x = 46,787.03 × 9,002.23
  4. Step 4: Simplify right side
    31,194.81x = 421,187,443.10
  5. Step 5: Solve for x
    x = 421,187,443.10/31,194.81
  6. Step 6: Final answer
    x = 13,501.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.