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Finding the Fourth Proportional to 58,677.76, 80,976 and 32,181.76

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Solution

The fourth proportional to 58,677.76, 80,976 and 32,181.76 is: 44,411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,677.76 : 80,976 = 32,181.76 : x
  2. Step 2: Convert to fraction form
    58,677.76/80,976 = 32,181.76/x
  3. Step 3: Cross multiply
    58,677.76x = 80,976 × 32,181.76
  4. Step 4: Simplify right side
    58,677.76x = 2,605,950,197.76
  5. Step 5: Solve for x
    x = 2,605,950,197.76/58,677.76
  6. Step 6: Final answer
    x = 44,411.21

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1.5x scale

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.