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Finding the Fourth Proportional to 65,078.32, 89,812.65 and 36,784.21

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Solution

The fourth proportional to 65,078.32, 89,812.65 and 36,784.21 is: 50,764.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,078.32 : 89,812.65 = 36,784.21 : x
  2. Step 2: Convert to fraction form
    65,078.32/89,812.65 = 36,784.21/x
  3. Step 3: Cross multiply
    65,078.32x = 89,812.65 × 36,784.21
  4. Step 4: Simplify right side
    65,078.32x = 3,303,687,378.26
  5. Step 5: Solve for x
    x = 3,303,687,378.26/65,078.32
  6. Step 6: Final answer
    x = 50,764.79

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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.