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Finding the Fourth Proportional to 32,313.54, 44,578.98 and 19,731

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Solution

The fourth proportional to 32,313.54, 44,578.98 and 19,731 is: 27,220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,313.54 : 44,578.98 = 19,731 : x
  2. Step 2: Convert to fraction form
    32,313.54/44,578.98 = 19,731/x
  3. Step 3: Cross multiply
    32,313.54x = 44,578.98 × 19,731
  4. Step 4: Simplify right side
    32,313.54x = 879,587,854.38
  5. Step 5: Solve for x
    x = 879,587,854.38/32,313.54
  6. Step 6: Final answer
    x = 27,220.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.