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Finding the Fourth Proportional to 53,213.76, 79,820.64 and 21,627

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Solution

The fourth proportional to 53,213.76, 79,820.64 and 21,627 is: 32,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,213.76 : 79,820.64 = 21,627 : x
  2. Step 2: Convert to fraction form
    53,213.76/79,820.64 = 21,627/x
  3. Step 3: Cross multiply
    53,213.76x = 79,820.64 × 21,627
  4. Step 4: Simplify right side
    53,213.76x = 1,726,280,981.28
  5. Step 5: Solve for x
    x = 1,726,280,981.28/53,213.76
  6. Step 6: Final answer
    x = 32,440.50

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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.