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Finding the Fourth Proportional to 56,534.63, 78,009.62 and 36,418.82

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Solution

The fourth proportional to 56,534.63, 78,009.62 and 36,418.82 is: 50,252.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,534.63 : 78,009.62 = 36,418.82 : x
  2. Step 2: Convert to fraction form
    56,534.63/78,009.62 = 36,418.82/x
  3. Step 3: Cross multiply
    56,534.63x = 78,009.62 × 36,418.82
  4. Step 4: Simplify right side
    56,534.63x = 2,841,017,736.91
  5. Step 5: Solve for x
    x = 2,841,017,736.91/56,534.63
  6. Step 6: Final answer
    x = 50,252.70

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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.