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Finding the Fourth Proportional to 58,187.60, 80,295.84 and 32,695

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Solution

The fourth proportional to 58,187.60, 80,295.84 and 32,695 is: 45,117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,187.60 : 80,295.84 = 32,695 : x
  2. Step 2: Convert to fraction form
    58,187.60/80,295.84 = 32,695/x
  3. Step 3: Cross multiply
    58,187.60x = 80,295.84 × 32,695
  4. Step 4: Simplify right side
    58,187.60x = 2,625,272,488.80
  5. Step 5: Solve for x
    x = 2,625,272,488.80/58,187.60
  6. Step 6: Final answer
    x = 45,117.39

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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.