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Finding the Fourth Proportional to 51,066, 70,471.08 and 28,710

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Solution

The fourth proportional to 51,066, 70,471.08 and 28,710 is: 39,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,066 : 70,471.08 = 28,710 : x
  2. Step 2: Convert to fraction form
    51,066/70,471.08 = 28,710/x
  3. Step 3: Cross multiply
    51,066x = 70,471.08 × 28,710
  4. Step 4: Simplify right side
    51,066x = 2,023,224,706.80
  5. Step 5: Solve for x
    x = 2,023,224,706.80/51,066
  6. Step 6: Final answer
    x = 39,619.80

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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.