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Finding the Fourth Proportional to 110,595.84, 165,962.56 and 44,931.84

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Solution

The fourth proportional to 110,595.84, 165,962.56 and 44,931.84 is: 67,425.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,595.84 : 165,962.56 = 44,931.84 : x
  2. Step 2: Convert to fraction form
    110,595.84/165,962.56 = 44,931.84/x
  3. Step 3: Cross multiply
    110,595.84x = 165,962.56 × 44,931.84
  4. Step 4: Simplify right side
    110,595.84x = 7,457,003,191.91
  5. Step 5: Solve for x
    x = 7,457,003,191.91/110,595.84
  6. Step 6: Final answer
    x = 67,425.71

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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.