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Finding the Fourth Proportional to 55,225.80, 82,824.80 and 15,783.12

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Solution

The fourth proportional to 55,225.80, 82,824.80 and 15,783.12 is: 23,670.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,225.80 : 82,824.80 = 15,783.12 : x
  2. Step 2: Convert to fraction form
    55,225.80/82,824.80 = 15,783.12/x
  3. Step 3: Cross multiply
    55,225.80x = 82,824.80 × 15,783.12
  4. Step 4: Simplify right side
    55,225.80x = 1,307,233,757.38
  5. Step 5: Solve for x
    x = 1,307,233,757.38/55,225.80
  6. Step 6: Final answer
    x = 23,670.71

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1.5x scale

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.