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Finding the Fourth Proportional to 56,730.94, 78,288.71 and 32,865.30

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Solution

The fourth proportional to 56,730.94, 78,288.71 and 32,865.30 is: 45,354.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,730.94 : 78,288.71 = 32,865.30 : x
  2. Step 2: Convert to fraction form
    56,730.94/78,288.71 = 32,865.30/x
  3. Step 3: Cross multiply
    56,730.94x = 78,288.71 × 32,865.30
  4. Step 4: Simplify right side
    56,730.94x = 2,572,981,776.44
  5. Step 5: Solve for x
    x = 2,572,981,776.44/56,730.94
  6. Step 6: Final answer
    x = 45,354.12

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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.