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Finding the Fourth Proportional to 50,923.61, 70,268.14 and 28,259.46

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Solution

The fourth proportional to 50,923.61, 70,268.14 and 28,259.46 is: 38,994.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,923.61 : 70,268.14 = 28,259.46 : x
  2. Step 2: Convert to fraction form
    50,923.61/70,268.14 = 28,259.46/x
  3. Step 3: Cross multiply
    50,923.61x = 70,268.14 × 28,259.46
  4. Step 4: Simplify right side
    50,923.61x = 1,985,739,469.69
  5. Step 5: Solve for x
    x = 1,985,739,469.69/50,923.61
  6. Step 6: Final answer
    x = 38,994.47

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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.