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Finding the Fourth Proportional to 106,574.67, 159,884.01 and 40,014.54

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Solution

The fourth proportional to 106,574.67, 159,884.01 and 40,014.54 is: 60,030.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,574.67 : 159,884.01 = 40,014.54 : x
  2. Step 2: Convert to fraction form
    106,574.67/159,884.01 = 40,014.54/x
  3. Step 3: Cross multiply
    106,574.67x = 159,884.01 × 40,014.54
  4. Step 4: Simplify right side
    106,574.67x = 6,397,685,113.51
  5. Step 5: Solve for x
    x = 6,397,685,113.51/106,574.67
  6. Step 6: Final answer
    x = 60,030.07

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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.