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Finding the Fourth Proportional to 110,323.64, 165,491.72 and 31,444.02

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Solution

The fourth proportional to 110,323.64, 165,491.72 and 31,444.02 is: 47,167.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,323.64 : 165,491.72 = 31,444.02 : x
  2. Step 2: Convert to fraction form
    110,323.64/165,491.72 = 31,444.02/x
  3. Step 3: Cross multiply
    110,323.64x = 165,491.72 × 31,444.02
  4. Step 4: Simplify right side
    110,323.64x = 5,203,724,953.51
  5. Step 5: Solve for x
    x = 5,203,724,953.51/110,323.64
  6. Step 6: Final answer
    x = 47,167.81

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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.