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Finding the Fourth Proportional to 108,023.20, 162,083.40 and 48,828.40

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Solution

The fourth proportional to 108,023.20, 162,083.40 and 48,828.40 is: 73,264.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,023.20 : 162,083.40 = 48,828.40 : x
  2. Step 2: Convert to fraction form
    108,023.20/162,083.40 = 48,828.40/x
  3. Step 3: Cross multiply
    108,023.20x = 162,083.40 × 48,828.40
  4. Step 4: Simplify right side
    108,023.20x = 7,914,273,088.56
  5. Step 5: Solve for x
    x = 7,914,273,088.56/108,023.20
  6. Step 6: Final answer
    x = 73,264.57

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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.