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Finding the Fourth Proportional to 92,014.77, 138,051.32 and 32,849.13

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Solution

The fourth proportional to 92,014.77, 138,051.32 and 32,849.13 is: 49,284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,014.77 : 138,051.32 = 32,849.13 : x
  2. Step 2: Convert to fraction form
    92,014.77/138,051.32 = 32,849.13/x
  3. Step 3: Cross multiply
    92,014.77x = 138,051.32 × 32,849.13
  4. Step 4: Simplify right side
    92,014.77x = 4,534,865,757.35
  5. Step 5: Solve for x
    x = 4,534,865,757.35/92,014.77
  6. Step 6: Final answer
    x = 49,284.11

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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.