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Finding the Fourth Proportional to 73,152, 100,954.08 and 41,320.08

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Solution

The fourth proportional to 73,152, 100,954.08 and 41,320.08 is: 57,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,152 : 100,954.08 = 41,320.08 : x
  2. Step 2: Convert to fraction form
    73,152/100,954.08 = 41,320.08/x
  3. Step 3: Cross multiply
    73,152x = 100,954.08 × 41,320.08
  4. Step 4: Simplify right side
    73,152x = 4,171,430,661.93
  5. Step 5: Solve for x
    x = 4,171,430,661.93/73,152
  6. Step 6: Final answer
    x = 57,024.15

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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.