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Finding the Fourth Proportional to 70,548.54, 105,857.40 and 33,111.65

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Solution

The fourth proportional to 70,548.54, 105,857.40 and 33,111.65 is: 49,683.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,548.54 : 105,857.40 = 33,111.65 : x
  2. Step 2: Convert to fraction form
    70,548.54/105,857.40 = 33,111.65/x
  3. Step 3: Cross multiply
    70,548.54x = 105,857.40 × 33,111.65
  4. Step 4: Simplify right side
    70,548.54x = 3,505,113,381.27
  5. Step 5: Solve for x
    x = 3,505,113,381.27/70,548.54
  6. Step 6: Final answer
    x = 49,683.72

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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.