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Finding the Fourth Proportional to 103,643.88, 155,449.20 and 37,071.60

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Solution

The fourth proportional to 103,643.88, 155,449.20 and 37,071.60 is: 55,601.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,643.88 : 155,449.20 = 37,071.60 : x
  2. Step 2: Convert to fraction form
    103,643.88/155,449.20 = 37,071.60/x
  3. Step 3: Cross multiply
    103,643.88x = 155,449.20 × 37,071.60
  4. Step 4: Simplify right side
    103,643.88x = 5,762,750,562.72
  5. Step 5: Solve for x
    x = 5,762,750,562.72/103,643.88
  6. Step 6: Final answer
    x = 55,601.46

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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.