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Finding the Fourth Proportional to 75,157.74, 112,666.86 and 27,746.64

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Solution

The fourth proportional to 75,157.74, 112,666.86 and 27,746.64 is: 41,594.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,157.74 : 112,666.86 = 27,746.64 : x
  2. Step 2: Convert to fraction form
    75,157.74/112,666.86 = 27,746.64/x
  3. Step 3: Cross multiply
    75,157.74x = 112,666.86 × 27,746.64
  4. Step 4: Simplify right side
    75,157.74x = 3,126,126,804.35
  5. Step 5: Solve for x
    x = 3,126,126,804.35/75,157.74
  6. Step 6: Final answer
    x = 41,594.21

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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.