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Finding the Fourth Proportional to 106,071.76, 159,151.70 and 42,936.51

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Solution

The fourth proportional to 106,071.76, 159,151.70 and 42,936.51 is: 64,422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,071.76 : 159,151.70 = 42,936.51 : x
  2. Step 2: Convert to fraction form
    106,071.76/159,151.70 = 42,936.51/x
  3. Step 3: Cross multiply
    106,071.76x = 159,151.70 × 42,936.51
  4. Step 4: Simplify right side
    106,071.76x = 6,833,418,558.57
  5. Step 5: Solve for x
    x = 6,833,418,558.57/106,071.76
  6. Step 6: Final answer
    x = 64,422.60

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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.