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Finding the Fourth Proportional to 27,047.70, 40,571.55 and 13,223.70

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Solution

The fourth proportional to 27,047.70, 40,571.55 and 13,223.70 is: 19,835.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,047.70 : 40,571.55 = 13,223.70 : x
  2. Step 2: Convert to fraction form
    27,047.70/40,571.55 = 13,223.70/x
  3. Step 3: Cross multiply
    27,047.70x = 40,571.55 × 13,223.70
  4. Step 4: Simplify right side
    27,047.70x = 536,506,005.74
  5. Step 5: Solve for x
    x = 536,506,005.74/27,047.70
  6. Step 6: Final answer
    x = 19,835.55

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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.