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Finding the Fourth Proportional to 64,933.50, 97,403.02 and 25,499.16

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Solution

The fourth proportional to 64,933.50, 97,403.02 and 25,499.16 is: 38,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,933.50 : 97,403.02 = 25,499.16 : x
  2. Step 2: Convert to fraction form
    64,933.50/97,403.02 = 25,499.16/x
  3. Step 3: Cross multiply
    64,933.50x = 97,403.02 × 25,499.16
  4. Step 4: Simplify right side
    64,933.50x = 2,483,695,191.46
  5. Step 5: Solve for x
    x = 2,483,695,191.46/64,933.50
  6. Step 6: Final answer
    x = 38,249.83

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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.