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Finding the Fourth Proportional to 39,757, 54,806.84 and 27,783.16

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Solution

The fourth proportional to 39,757, 54,806.84 and 27,783.16 is: 38,300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,757 : 54,806.84 = 27,783.16 : x
  2. Step 2: Convert to fraction form
    39,757/54,806.84 = 27,783.16/x
  3. Step 3: Cross multiply
    39,757x = 54,806.84 × 27,783.16
  4. Step 4: Simplify right side
    39,757x = 1,522,707,204.81
  5. Step 5: Solve for x
    x = 1,522,707,204.81/39,757
  6. Step 6: Final answer
    x = 38,300.35

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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.