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Finding the Fourth Proportional to 82,416.80, 113,748.33 and 48,433.64

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Solution

The fourth proportional to 82,416.80, 113,748.33 and 48,433.64 is: 66,846.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,416.80 : 113,748.33 = 48,433.64 : x
  2. Step 2: Convert to fraction form
    82,416.80/113,748.33 = 48,433.64/x
  3. Step 3: Cross multiply
    82,416.80x = 113,748.33 × 48,433.64
  4. Step 4: Simplify right side
    82,416.80x = 5,509,244,928.35
  5. Step 5: Solve for x
    x = 5,509,244,928.35/82,416.80
  6. Step 6: Final answer
    x = 66,846.14

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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.