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Finding the Fourth Proportional to 101,066.34, 151,614.64 and 32,655.02

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Solution

The fourth proportional to 101,066.34, 151,614.64 and 32,655.02 is: 48,987.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,066.34 : 151,614.64 = 32,655.02 : x
  2. Step 2: Convert to fraction form
    101,066.34/151,614.64 = 32,655.02/x
  3. Step 3: Cross multiply
    101,066.34x = 151,614.64 × 32,655.02
  4. Step 4: Simplify right side
    101,066.34x = 4,950,979,101.49
  5. Step 5: Solve for x
    x = 4,950,979,101.49/101,066.34
  6. Step 6: Final answer
    x = 48,987.42

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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.