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Finding the Fourth Proportional to 108,101.76, 162,152.64 and 34,224

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Solution

The fourth proportional to 108,101.76, 162,152.64 and 34,224 is: 51,336.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,101.76 : 162,152.64 = 34,224 : x
  2. Step 2: Convert to fraction form
    108,101.76/162,152.64 = 34,224/x
  3. Step 3: Cross multiply
    108,101.76x = 162,152.64 × 34,224
  4. Step 4: Simplify right side
    108,101.76x = 5,549,511,951.36
  5. Step 5: Solve for x
    x = 5,549,511,951.36/108,101.76
  6. Step 6: Final answer
    x = 51,336.00

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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.