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Finding the Fourth Proportional to 58,470.91, 80,702.37 and 36,946.98

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Solution

The fourth proportional to 58,470.91, 80,702.37 and 36,946.98 is: 50,994.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,470.91 : 80,702.37 = 36,946.98 : x
  2. Step 2: Convert to fraction form
    58,470.91/80,702.37 = 36,946.98/x
  3. Step 3: Cross multiply
    58,470.91x = 80,702.37 × 36,946.98
  4. Step 4: Simplify right side
    58,470.91x = 2,981,708,850.34
  5. Step 5: Solve for x
    x = 2,981,708,850.34/58,470.91
  6. Step 6: Final answer
    x = 50,994.74

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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.