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Finding the Fourth Proportional to 29,707.75, 44,568.92 and 8,931.25

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Solution

The fourth proportional to 29,707.75, 44,568.92 and 8,931.25 is: 13,399.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,707.75 : 44,568.92 = 8,931.25 : x
  2. Step 2: Convert to fraction form
    29,707.75/44,568.92 = 8,931.25/x
  3. Step 3: Cross multiply
    29,707.75x = 44,568.92 × 8,931.25
  4. Step 4: Simplify right side
    29,707.75x = 398,056,166.75
  5. Step 5: Solve for x
    x = 398,056,166.75/29,707.75
  6. Step 6: Final answer
    x = 13,399.07

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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.