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Finding the Fourth Proportional to 66,948.30, 100,228.05 and 65,004.30

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Solution

The fourth proportional to 66,948.30, 100,228.05 and 65,004.30 is: 97,317.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,948.30 : 100,228.05 = 65,004.30 : x
  2. Step 2: Convert to fraction form
    66,948.30/100,228.05 = 65,004.30/x
  3. Step 3: Cross multiply
    66,948.30x = 100,228.05 × 65,004.30
  4. Step 4: Simplify right side
    66,948.30x = 6,515,254,230.62
  5. Step 5: Solve for x
    x = 6,515,254,230.62/66,948.30
  6. Step 6: Final answer
    x = 97,317.69

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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.