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Finding the Fourth Proportional to 73,697.44, 110,451.66 and 53,656.16

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Solution

The fourth proportional to 73,697.44, 110,451.66 and 53,656.16 is: 80,415.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,697.44 : 110,451.66 = 53,656.16 : x
  2. Step 2: Convert to fraction form
    73,697.44/110,451.66 = 53,656.16/x
  3. Step 3: Cross multiply
    73,697.44x = 110,451.66 × 53,656.16
  4. Step 4: Simplify right side
    73,697.44x = 5,926,411,941.23
  5. Step 5: Solve for x
    x = 5,926,411,941.23/73,697.44
  6. Step 6: Final answer
    x = 80,415.44

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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.