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Finding the Fourth Proportional to 110,518.76, 165,774 and 31,632.80

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Solution

The fourth proportional to 110,518.76, 165,774 and 31,632.80 is: 47,448.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,518.76 : 165,774 = 31,632.80 : x
  2. Step 2: Convert to fraction form
    110,518.76/165,774 = 31,632.80/x
  3. Step 3: Cross multiply
    110,518.76x = 165,774 × 31,632.80
  4. Step 4: Simplify right side
    110,518.76x = 5,243,895,787.20
  5. Step 5: Solve for x
    x = 5,243,895,787.20/110,518.76
  6. Step 6: Final answer
    x = 47,448.02

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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.