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Finding the Fourth Proportional to 84,243.81, 116,276.40 and 48,454.50

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Solution

The fourth proportional to 84,243.81, 116,276.40 and 48,454.50 is: 66,878.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,243.81 : 116,276.40 = 48,454.50 : x
  2. Step 2: Convert to fraction form
    84,243.81/116,276.40 = 48,454.50/x
  3. Step 3: Cross multiply
    84,243.81x = 116,276.40 × 48,454.50
  4. Step 4: Simplify right side
    84,243.81x = 5,634,114,823.80
  5. Step 5: Solve for x
    x = 5,634,114,823.80/84,243.81
  6. Step 6: Final answer
    x = 66,878.68

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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.