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Finding the Fourth Proportional to 73,308, 101,165.58 and 39,774

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Solution

The fourth proportional to 73,308, 101,165.58 and 39,774 is: 54,888.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,308 : 101,165.58 = 39,774 : x
  2. Step 2: Convert to fraction form
    73,308/101,165.58 = 39,774/x
  3. Step 3: Cross multiply
    73,308x = 101,165.58 × 39,774
  4. Step 4: Simplify right side
    73,308x = 4,023,759,778.92
  5. Step 5: Solve for x
    x = 4,023,759,778.92/73,308
  6. Step 6: Final answer
    x = 54,888.41

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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.