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Finding the Fourth Proportional to 51,590.86, 71,210.15 and 30,382.43

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Solution

The fourth proportional to 51,590.86, 71,210.15 and 30,382.43 is: 41,936.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,590.86 : 71,210.15 = 30,382.43 : x
  2. Step 2: Convert to fraction form
    51,590.86/71,210.15 = 30,382.43/x
  3. Step 3: Cross multiply
    51,590.86x = 71,210.15 × 30,382.43
  4. Step 4: Simplify right side
    51,590.86x = 2,163,537,397.66
  5. Step 5: Solve for x
    x = 2,163,537,397.66/51,590.86
  6. Step 6: Final answer
    x = 41,936.45

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