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Finding the Fourth Proportional to 50,870.67, 70,201.38 and 28,209.84

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Solution

The fourth proportional to 50,870.67, 70,201.38 and 28,209.84 is: 38,929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,870.67 : 70,201.38 = 28,209.84 : x
  2. Step 2: Convert to fraction form
    50,870.67/70,201.38 = 28,209.84/x
  3. Step 3: Cross multiply
    50,870.67x = 70,201.38 × 28,209.84
  4. Step 4: Simplify right side
    50,870.67x = 1,980,369,697.58
  5. Step 5: Solve for x
    x = 1,980,369,697.58/50,870.67
  6. Step 6: Final answer
    x = 38,929.50

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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.