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Finding the Fourth Proportional to 110,503.68, 165,783.36 and 31,624.80

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Solution

The fourth proportional to 110,503.68, 165,783.36 and 31,624.80 is: 47,445.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,503.68 : 165,783.36 = 31,624.80 : x
  2. Step 2: Convert to fraction form
    110,503.68/165,783.36 = 31,624.80/x
  3. Step 3: Cross multiply
    110,503.68x = 165,783.36 × 31,624.80
  4. Step 4: Simplify right side
    110,503.68x = 5,242,865,603.33
  5. Step 5: Solve for x
    x = 5,242,865,603.33/110,503.68
  6. Step 6: Final answer
    x = 47,445.17

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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.