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Finding the Fourth Proportional to 73,985.70, 110,978.55 and 32,432.70

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Solution

The fourth proportional to 73,985.70, 110,978.55 and 32,432.70 is: 48,649.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,985.70 : 110,978.55 = 32,432.70 : x
  2. Step 2: Convert to fraction form
    73,985.70/110,978.55 = 32,432.70/x
  3. Step 3: Cross multiply
    73,985.70x = 110,978.55 × 32,432.70
  4. Step 4: Simplify right side
    73,985.70x = 3,599,334,018.59
  5. Step 5: Solve for x
    x = 3,599,334,018.59/73,985.70
  6. Step 6: Final answer
    x = 48,649.05

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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.