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Finding the Fourth Proportional to 50,415, 69,572.70 and 28,064.28

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Solution

The fourth proportional to 50,415, 69,572.70 and 28,064.28 is: 38,728.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,415 : 69,572.70 = 28,064.28 : x
  2. Step 2: Convert to fraction form
    50,415/69,572.70 = 28,064.28/x
  3. Step 3: Cross multiply
    50,415x = 69,572.70 × 28,064.28
  4. Step 4: Simplify right side
    50,415x = 1,952,507,733.16
  5. Step 5: Solve for x
    x = 1,952,507,733.16/50,415
  6. Step 6: Final answer
    x = 38,728.71

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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.