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Finding the Fourth Proportional to 105,970.71, 158,955.66 and 27,084.81

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Solution

The fourth proportional to 105,970.71, 158,955.66 and 27,084.81 is: 40,627.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,970.71 : 158,955.66 = 27,084.81 : x
  2. Step 2: Convert to fraction form
    105,970.71/158,955.66 = 27,084.81/x
  3. Step 3: Cross multiply
    105,970.71x = 158,955.66 × 27,084.81
  4. Step 4: Simplify right side
    105,970.71x = 4,305,283,849.52
  5. Step 5: Solve for x
    x = 4,305,283,849.52/105,970.71
  6. Step 6: Final answer
    x = 40,627.11

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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.