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Finding the Fourth Proportional to 35,477.60, 53,192.10 and 16,766.60

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Solution

The fourth proportional to 35,477.60, 53,192.10 and 16,766.60 is: 25,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,477.60 : 53,192.10 = 16,766.60 : x
  2. Step 2: Convert to fraction form
    35,477.60/53,192.10 = 16,766.60/x
  3. Step 3: Cross multiply
    35,477.60x = 53,192.10 × 16,766.60
  4. Step 4: Simplify right side
    35,477.60x = 891,850,663.86
  5. Step 5: Solve for x
    x = 891,850,663.86/35,477.60
  6. Step 6: Final answer
    x = 25,138.42

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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.