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Finding the Fourth Proportional to 67,128.80, 100,706.64 and 25,580

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Solution

The fourth proportional to 67,128.80, 100,706.64 and 25,580 is: 38,375.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,128.80 : 100,706.64 = 25,580 : x
  2. Step 2: Convert to fraction form
    67,128.80/100,706.64 = 25,580/x
  3. Step 3: Cross multiply
    67,128.80x = 100,706.64 × 25,580
  4. Step 4: Simplify right side
    67,128.80x = 2,576,075,851.20
  5. Step 5: Solve for x
    x = 2,576,075,851.20/67,128.80
  6. Step 6: Final answer
    x = 38,375.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.