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Finding the Fourth Proportional to 64,602.93, 96,904.38 and 20,233.14

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Solution

The fourth proportional to 64,602.93, 96,904.38 and 20,233.14 is: 30,349.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,602.93 : 96,904.38 = 20,233.14 : x
  2. Step 2: Convert to fraction form
    64,602.93/96,904.38 = 20,233.14/x
  3. Step 3: Cross multiply
    64,602.93x = 96,904.38 × 20,233.14
  4. Step 4: Simplify right side
    64,602.93x = 1,960,679,887.15
  5. Step 5: Solve for x
    x = 1,960,679,887.15/64,602.93
  6. Step 6: Final answer
    x = 30,349.71

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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.