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Finding the Fourth Proportional to 73,179.18, 109,798.74 and 48,214.98

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Solution

The fourth proportional to 73,179.18, 109,798.74 and 48,214.98 is: 72,342.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,179.18 : 109,798.74 = 48,214.98 : x
  2. Step 2: Convert to fraction form
    73,179.18/109,798.74 = 48,214.98/x
  3. Step 3: Cross multiply
    73,179.18x = 109,798.74 × 48,214.98
  4. Step 4: Simplify right side
    73,179.18x = 5,293,944,053.13
  5. Step 5: Solve for x
    x = 5,293,944,053.13/73,179.18
  6. Step 6: Final answer
    x = 72,342.22

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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.