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Finding the Fourth Proportional to 106,252.32, 159,396 and 39,715.68

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Solution

The fourth proportional to 106,252.32, 159,396 and 39,715.68 is: 59,580.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,252.32 : 159,396 = 39,715.68 : x
  2. Step 2: Convert to fraction form
    106,252.32/159,396 = 39,715.68/x
  3. Step 3: Cross multiply
    106,252.32x = 159,396 × 39,715.68
  4. Step 4: Simplify right side
    106,252.32x = 6,330,520,529.28
  5. Step 5: Solve for x
    x = 6,330,520,529.28/106,252.32
  6. Step 6: Final answer
    x = 59,580.07

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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.