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Finding the Fourth Proportional to 64,199.50, 96,322.06 and 28,657.60

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Solution

The fourth proportional to 64,199.50, 96,322.06 and 28,657.60 is: 42,996.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,199.50 : 96,322.06 = 28,657.60 : x
  2. Step 2: Convert to fraction form
    64,199.50/96,322.06 = 28,657.60/x
  3. Step 3: Cross multiply
    64,199.50x = 96,322.06 × 28,657.60
  4. Step 4: Simplify right side
    64,199.50x = 2,760,359,066.66
  5. Step 5: Solve for x
    x = 2,760,359,066.66/64,199.50
  6. Step 6: Final answer
    x = 42,996.58

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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.