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Finding the Fourth Proportional to 41,230.72, 56,878 and 27,784.72

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Solution

The fourth proportional to 41,230.72, 56,878 and 27,784.72 is: 38,329.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,230.72 : 56,878 = 27,784.72 : x
  2. Step 2: Convert to fraction form
    41,230.72/56,878 = 27,784.72/x
  3. Step 3: Cross multiply
    41,230.72x = 56,878 × 27,784.72
  4. Step 4: Simplify right side
    41,230.72x = 1,580,339,304.16
  5. Step 5: Solve for x
    x = 1,580,339,304.16/41,230.72
  6. Step 6: Final answer
    x = 38,329.17

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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.