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Finding the Fourth Proportional to 42,776.60, 64,168.52 and 15,766.32

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Solution

The fourth proportional to 42,776.60, 64,168.52 and 15,766.32 is: 23,650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,776.60 : 64,168.52 = 15,766.32 : x
  2. Step 2: Convert to fraction form
    42,776.60/64,168.52 = 15,766.32/x
  3. Step 3: Cross multiply
    42,776.60x = 64,168.52 × 15,766.32
  4. Step 4: Simplify right side
    42,776.60x = 1,011,701,420.25
  5. Step 5: Solve for x
    x = 1,011,701,420.25/42,776.60
  6. Step 6: Final answer
    x = 23,650.81

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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.