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Finding the Fourth Proportional to 106,670.74, 159,952.54 and 35,568.21

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Solution

The fourth proportional to 106,670.74, 159,952.54 and 35,568.21 is: 53,334.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,670.74 : 159,952.54 = 35,568.21 : x
  2. Step 2: Convert to fraction form
    106,670.74/159,952.54 = 35,568.21/x
  3. Step 3: Cross multiply
    106,670.74x = 159,952.54 × 35,568.21
  4. Step 4: Simplify right side
    106,670.74x = 5,689,225,666.13
  5. Step 5: Solve for x
    x = 5,689,225,666.13/106,670.74
  6. Step 6: Final answer
    x = 53,334.45

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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.