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Finding the Fourth Proportional to 92,051.82, 137,978.28 and 44,566.59

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Solution

The fourth proportional to 92,051.82, 137,978.28 and 44,566.59 is: 66,801.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,051.82 : 137,978.28 = 44,566.59 : x
  2. Step 2: Convert to fraction form
    92,051.82/137,978.28 = 44,566.59/x
  3. Step 3: Cross multiply
    92,051.82x = 137,978.28 × 44,566.59
  4. Step 4: Simplify right side
    92,051.82x = 6,149,221,433.67
  5. Step 5: Solve for x
    x = 6,149,221,433.67/92,051.82
  6. Step 6: Final answer
    x = 66,801.74

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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.