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Finding the Fourth Proportional to 50,866.42, 70,253.14 and 34,706

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Solution

The fourth proportional to 50,866.42, 70,253.14 and 34,706 is: 47,933.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,866.42 : 70,253.14 = 34,706 : x
  2. Step 2: Convert to fraction form
    50,866.42/70,253.14 = 34,706/x
  3. Step 3: Cross multiply
    50,866.42x = 70,253.14 × 34,706
  4. Step 4: Simplify right side
    50,866.42x = 2,438,205,476.84
  5. Step 5: Solve for x
    x = 2,438,205,476.84/50,866.42
  6. Step 6: Final answer
    x = 47,933.50

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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.