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Finding the Fourth Proportional to 108,428.40, 162,641.70 and 29,542.50

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Solution

The fourth proportional to 108,428.40, 162,641.70 and 29,542.50 is: 44,313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,428.40 : 162,641.70 = 29,542.50 : x
  2. Step 2: Convert to fraction form
    108,428.40/162,641.70 = 29,542.50/x
  3. Step 3: Cross multiply
    108,428.40x = 162,641.70 × 29,542.50
  4. Step 4: Simplify right side
    108,428.40x = 4,804,842,422.25
  5. Step 5: Solve for x
    x = 4,804,842,422.25/108,428.40
  6. Step 6: Final answer
    x = 44,313.50

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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.