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Finding the Fourth Proportional to 106,561.71, 159,842.52 and 31,681.53

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Solution

The fourth proportional to 106,561.71, 159,842.52 and 31,681.53 is: 47,522.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,561.71 : 159,842.52 = 31,681.53 : x
  2. Step 2: Convert to fraction form
    106,561.71/159,842.52 = 31,681.53/x
  3. Step 3: Cross multiply
    106,561.71x = 159,842.52 × 31,681.53
  4. Step 4: Simplify right side
    106,561.71x = 5,064,055,592.66
  5. Step 5: Solve for x
    x = 5,064,055,592.66/106,561.71
  6. Step 6: Final answer
    x = 47,522.28

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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.