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Finding the Fourth Proportional to 73,505.16, 101,419.38 and 46,638

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Solution

The fourth proportional to 73,505.16, 101,419.38 and 46,638 is: 64,349.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,505.16 : 101,419.38 = 46,638 : x
  2. Step 2: Convert to fraction form
    73,505.16/101,419.38 = 46,638/x
  3. Step 3: Cross multiply
    73,505.16x = 101,419.38 × 46,638
  4. Step 4: Simplify right side
    73,505.16x = 4,729,997,044.44
  5. Step 5: Solve for x
    x = 4,729,997,044.44/73,505.16
  6. Step 6: Final answer
    x = 64,349.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.