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Finding the Fourth Proportional to 66,807.36, 100,210.86 and 27,364.50

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Solution

The fourth proportional to 66,807.36, 100,210.86 and 27,364.50 is: 41,046.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,807.36 : 100,210.86 = 27,364.50 : x
  2. Step 2: Convert to fraction form
    66,807.36/100,210.86 = 27,364.50/x
  3. Step 3: Cross multiply
    66,807.36x = 100,210.86 × 27,364.50
  4. Step 4: Simplify right side
    66,807.36x = 2,742,220,078.47
  5. Step 5: Solve for x
    x = 2,742,220,078.47/66,807.36
  6. Step 6: Final answer
    x = 41,046.68

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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.