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Finding the Fourth Proportional to 56,467.20, 84,734.40 and 21,410.40

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Solution

The fourth proportional to 56,467.20, 84,734.40 and 21,410.40 is: 32,128.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,467.20 : 84,734.40 = 21,410.40 : x
  2. Step 2: Convert to fraction form
    56,467.20/84,734.40 = 21,410.40/x
  3. Step 3: Cross multiply
    56,467.20x = 84,734.40 × 21,410.40
  4. Step 4: Simplify right side
    56,467.20x = 1,814,197,397.76
  5. Step 5: Solve for x
    x = 1,814,197,397.76/56,467.20
  6. Step 6: Final answer
    x = 32,128.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.