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Finding the Fourth Proportional to 110,552.51, 165,828.02 and 31,667.01

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Solution

The fourth proportional to 110,552.51, 165,828.02 and 31,667.01 is: 47,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,552.51 : 165,828.02 = 31,667.01 : x
  2. Step 2: Convert to fraction form
    110,552.51/165,828.02 = 31,667.01/x
  3. Step 3: Cross multiply
    110,552.51x = 165,828.02 × 31,667.01
  4. Step 4: Simplify right side
    110,552.51x = 5,251,277,409.29
  5. Step 5: Solve for x
    x = 5,251,277,409.29/110,552.51
  6. Step 6: Final answer
    x = 47,500.30

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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.