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Finding the Fourth Proportional to 35,302.50, 48,721.77 and 20,398.50

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Solution

The fourth proportional to 35,302.50, 48,721.77 and 20,398.50 is: 28,152.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,302.50 : 48,721.77 = 20,398.50 : x
  2. Step 2: Convert to fraction form
    35,302.50/48,721.77 = 20,398.50/x
  3. Step 3: Cross multiply
    35,302.50x = 48,721.77 × 20,398.50
  4. Step 4: Simplify right side
    35,302.50x = 993,851,025.35
  5. Step 5: Solve for x
    x = 993,851,025.35/35,302.50
  6. Step 6: Final answer
    x = 28,152.43

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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.