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Finding the Fourth Proportional to 37,496.16, 51,742.48 and 20,728.16

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Solution

The fourth proportional to 37,496.16, 51,742.48 and 20,728.16 is: 28,603.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,496.16 : 51,742.48 = 20,728.16 : x
  2. Step 2: Convert to fraction form
    37,496.16/51,742.48 = 20,728.16/x
  3. Step 3: Cross multiply
    37,496.16x = 51,742.48 × 20,728.16
  4. Step 4: Simplify right side
    37,496.16x = 1,072,526,404.24
  5. Step 5: Solve for x
    x = 1,072,526,404.24/37,496.16
  6. Step 6: Final answer
    x = 28,603.63

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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.