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Finding the Fourth Proportional to 108,102.76, 162,154.14 and 34,225

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Solution

The fourth proportional to 108,102.76, 162,154.14 and 34,225 is: 51,337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,102.76 : 162,154.14 = 34,225 : x
  2. Step 2: Convert to fraction form
    108,102.76/162,154.14 = 34,225/x
  3. Step 3: Cross multiply
    108,102.76x = 162,154.14 × 34,225
  4. Step 4: Simplify right side
    108,102.76x = 5,549,725,441.50
  5. Step 5: Solve for x
    x = 5,549,725,441.50/108,102.76
  6. Step 6: Final answer
    x = 51,337.50

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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.