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Finding the Fourth Proportional to 66,875.80, 100,265.10 and 27,412.60

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Solution

The fourth proportional to 66,875.80, 100,265.10 and 27,412.60 is: 41,098.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,875.80 : 100,265.10 = 27,412.60 : x
  2. Step 2: Convert to fraction form
    66,875.80/100,265.10 = 27,412.60/x
  3. Step 3: Cross multiply
    66,875.80x = 100,265.10 × 27,412.60
  4. Step 4: Simplify right side
    66,875.80x = 2,748,527,080.26
  5. Step 5: Solve for x
    x = 2,748,527,080.26/66,875.80
  6. Step 6: Final answer
    x = 41,098.98

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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.