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Finding the Fourth Proportional to 53,602.88, 80,432 and 24,041.28

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Solution

The fourth proportional to 53,602.88, 80,432 and 24,041.28 is: 36,074.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,602.88 : 80,432 = 24,041.28 : x
  2. Step 2: Convert to fraction form
    53,602.88/80,432 = 24,041.28/x
  3. Step 3: Cross multiply
    53,602.88x = 80,432 × 24,041.28
  4. Step 4: Simplify right side
    53,602.88x = 1,933,688,232.96
  5. Step 5: Solve for x
    x = 1,933,688,232.96/53,602.88
  6. Step 6: Final answer
    x = 36,074.33

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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.