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Finding the Fourth Proportional to 64,965, 97,165.98 and 38,247.33

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Solution

The fourth proportional to 64,965, 97,165.98 and 38,247.33 is: 57,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,965 : 97,165.98 = 38,247.33 : x
  2. Step 2: Convert to fraction form
    64,965/97,165.98 = 38,247.33/x
  3. Step 3: Cross multiply
    64,965x = 97,165.98 × 38,247.33
  4. Step 4: Simplify right side
    64,965x = 3,716,339,301.83
  5. Step 5: Solve for x
    x = 3,716,339,301.83/64,965
  6. Step 6: Final answer
    x = 57,205.25

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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.