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Finding the Fourth Proportional to 36,254.16, 50,032.80 and 20,340

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Solution

The fourth proportional to 36,254.16, 50,032.80 and 20,340 is: 28,070.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,254.16 : 50,032.80 = 20,340 : x
  2. Step 2: Convert to fraction form
    36,254.16/50,032.80 = 20,340/x
  3. Step 3: Cross multiply
    36,254.16x = 50,032.80 × 20,340
  4. Step 4: Simplify right side
    36,254.16x = 1,017,667,152
  5. Step 5: Solve for x
    x = 1,017,667,152/36,254.16
  6. Step 6: Final answer
    x = 28,070.36

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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.