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Finding the Fourth Proportional to 73,411.85, 101,308.56 and 41,580.74

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Solution

The fourth proportional to 73,411.85, 101,308.56 and 41,580.74 is: 57,381.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,411.85 : 101,308.56 = 41,580.74 : x
  2. Step 2: Convert to fraction form
    73,411.85/101,308.56 = 41,580.74/x
  3. Step 3: Cross multiply
    73,411.85x = 101,308.56 × 41,580.74
  4. Step 4: Simplify right side
    73,411.85x = 4,212,484,990.48
  5. Step 5: Solve for x
    x = 4,212,484,990.48/73,411.85
  6. Step 6: Final answer
    x = 57,381.54

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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.