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Finding the Fourth Proportional to 73,742.94, 110,725.18 and 42,188.63

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Solution

The fourth proportional to 73,742.94, 110,725.18 and 42,188.63 is: 63,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,742.94 : 110,725.18 = 42,188.63 : x
  2. Step 2: Convert to fraction form
    73,742.94/110,725.18 = 42,188.63/x
  3. Step 3: Cross multiply
    73,742.94x = 110,725.18 × 42,188.63
  4. Step 4: Simplify right side
    73,742.94x = 4,671,342,991.61
  5. Step 5: Solve for x
    x = 4,671,342,991.61/73,742.94
  6. Step 6: Final answer
    x = 63,346.31

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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.