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Finding the Fourth Proportional to 52,090.02, 71,884.50 and 28,216.74

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Solution

The fourth proportional to 52,090.02, 71,884.50 and 28,216.74 is: 38,939.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,090.02 : 71,884.50 = 28,216.74 : x
  2. Step 2: Convert to fraction form
    52,090.02/71,884.50 = 28,216.74/x
  3. Step 3: Cross multiply
    52,090.02x = 71,884.50 × 28,216.74
  4. Step 4: Simplify right side
    52,090.02x = 2,028,346,246.53
  5. Step 5: Solve for x
    x = 2,028,346,246.53/52,090.02
  6. Step 6: Final answer
    x = 38,939.25

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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.