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Finding the Fourth Proportional to 106,383.16, 159,598.02 and 31,509.10

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Solution

The fourth proportional to 106,383.16, 159,598.02 and 31,509.10 is: 47,270.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,383.16 : 159,598.02 = 31,509.10 : x
  2. Step 2: Convert to fraction form
    106,383.16/159,598.02 = 31,509.10/x
  3. Step 3: Cross multiply
    106,383.16x = 159,598.02 × 31,509.10
  4. Step 4: Simplify right side
    106,383.16x = 5,028,789,971.98
  5. Step 5: Solve for x
    x = 5,028,789,971.98/106,383.16
  6. Step 6: Final answer
    x = 47,270.55

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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.