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Finding the Fourth Proportional to 58,153, 80,251.14 and 31,657

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Solution

The fourth proportional to 58,153, 80,251.14 and 31,657 is: 43,686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,153 : 80,251.14 = 31,657 : x
  2. Step 2: Convert to fraction form
    58,153/80,251.14 = 31,657/x
  3. Step 3: Cross multiply
    58,153x = 80,251.14 × 31,657
  4. Step 4: Simplify right side
    58,153x = 2,540,510,338.98
  5. Step 5: Solve for x
    x = 2,540,510,338.98/58,153
  6. Step 6: Final answer
    x = 43,686.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.