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Finding the Fourth Proportional to 82,994.41, 114,530.80 and 48,542.47

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Solution

The fourth proportional to 82,994.41, 114,530.80 and 48,542.47 is: 66,987.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,994.41 : 114,530.80 = 48,542.47 : x
  2. Step 2: Convert to fraction form
    82,994.41/114,530.80 = 48,542.47/x
  3. Step 3: Cross multiply
    82,994.41x = 114,530.80 × 48,542.47
  4. Step 4: Simplify right side
    82,994.41x = 5,559,607,923.08
  5. Step 5: Solve for x
    x = 5,559,607,923.08/82,994.41
  6. Step 6: Final answer
    x = 66,987.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.