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Finding the Fourth Proportional to 102,657.76, 153,973.84 and 28,791.52

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Solution

The fourth proportional to 102,657.76, 153,973.84 and 28,791.52 is: 43,183.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,657.76 : 153,973.84 = 28,791.52 : x
  2. Step 2: Convert to fraction form
    102,657.76/153,973.84 = 28,791.52/x
  3. Step 3: Cross multiply
    102,657.76x = 153,973.84 × 28,791.52
  4. Step 4: Simplify right side
    102,657.76x = 4,433,140,893.84
  5. Step 5: Solve for x
    x = 4,433,140,893.84/102,657.76
  6. Step 6: Final answer
    x = 43,183.69

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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.