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Finding the Fourth Proportional to 37,681.16, 51,997.94 and 20,913.16

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Solution

The fourth proportional to 37,681.16, 51,997.94 and 20,913.16 is: 28,859.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,681.16 : 51,997.94 = 20,913.16 : x
  2. Step 2: Convert to fraction form
    37,681.16/51,997.94 = 20,913.16/x
  3. Step 3: Cross multiply
    37,681.16x = 51,997.94 × 20,913.16
  4. Step 4: Simplify right side
    37,681.16x = 1,087,441,238.89
  5. Step 5: Solve for x
    x = 1,087,441,238.89/37,681.16
  6. Step 6: Final answer
    x = 28,859.02

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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.