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Finding the Fourth Proportional to 50,866.76, 70,196.64 and 28,206.20

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Solution

The fourth proportional to 50,866.76, 70,196.64 and 28,206.20 is: 38,924.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,866.76 : 70,196.64 = 28,206.20 : x
  2. Step 2: Convert to fraction form
    50,866.76/70,196.64 = 28,206.20/x
  3. Step 3: Cross multiply
    50,866.76x = 70,196.64 × 28,206.20
  4. Step 4: Simplify right side
    50,866.76x = 1,979,980,467.17
  5. Step 5: Solve for x
    x = 1,979,980,467.17/50,866.76
  6. Step 6: Final answer
    x = 38,924.84

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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.