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Finding the Fourth Proportional to 37,985.80, 56,978.70 and 25,544.20

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Solution

The fourth proportional to 37,985.80, 56,978.70 and 25,544.20 is: 38,316.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,985.80 : 56,978.70 = 25,544.20 : x
  2. Step 2: Convert to fraction form
    37,985.80/56,978.70 = 25,544.20/x
  3. Step 3: Cross multiply
    37,985.80x = 56,978.70 × 25,544.20
  4. Step 4: Simplify right side
    37,985.80x = 1,455,475,308.54
  5. Step 5: Solve for x
    x = 1,455,475,308.54/37,985.80
  6. Step 6: Final answer
    x = 38,316.30

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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.