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Finding the Fourth Proportional to 108,002.60, 161,955.30 and 48,807.80

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Solution

The fourth proportional to 108,002.60, 161,955.30 and 48,807.80 is: 73,189.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,002.60 : 161,955.30 = 48,807.80 : x
  2. Step 2: Convert to fraction form
    108,002.60/161,955.30 = 48,807.80/x
  3. Step 3: Cross multiply
    108,002.60x = 161,955.30 × 48,807.80
  4. Step 4: Simplify right side
    108,002.60x = 7,904,681,891.34
  5. Step 5: Solve for x
    x = 7,904,681,891.34/108,002.60
  6. Step 6: Final answer
    x = 73,189.74

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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.