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Finding the Fourth Proportional to 52,471.21, 72,410.37 and 28,597.90

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Solution

The fourth proportional to 52,471.21, 72,410.37 and 28,597.90 is: 39,465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,471.21 : 72,410.37 = 28,597.90 : x
  2. Step 2: Convert to fraction form
    52,471.21/72,410.37 = 28,597.90/x
  3. Step 3: Cross multiply
    52,471.21x = 72,410.37 × 28,597.90
  4. Step 4: Simplify right side
    52,471.21x = 2,070,784,520.22
  5. Step 5: Solve for x
    x = 2,070,784,520.22/52,471.21
  6. Step 6: Final answer
    x = 39,465.16

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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.