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Finding the Fourth Proportional to 70,470.24, 105,655.14 and 33,009.87

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Solution

The fourth proportional to 70,470.24, 105,655.14 and 33,009.87 is: 49,491.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,470.24 : 105,655.14 = 33,009.87 : x
  2. Step 2: Convert to fraction form
    70,470.24/105,655.14 = 33,009.87/x
  3. Step 3: Cross multiply
    70,470.24x = 105,655.14 × 33,009.87
  4. Step 4: Simplify right side
    70,470.24x = 3,487,662,844.06
  5. Step 5: Solve for x
    x = 3,487,662,844.06/70,470.24
  6. Step 6: Final answer
    x = 49,491.29

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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.