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Finding the Fourth Proportional to 56,381.54, 77,761.62 and 36,240.48

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Solution

The fourth proportional to 56,381.54, 77,761.62 and 36,240.48 is: 49,983.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,381.54 : 77,761.62 = 36,240.48 : x
  2. Step 2: Convert to fraction form
    56,381.54/77,761.62 = 36,240.48/x
  3. Step 3: Cross multiply
    56,381.54x = 77,761.62 × 36,240.48
  4. Step 4: Simplify right side
    56,381.54x = 2,818,118,434.38
  5. Step 5: Solve for x
    x = 2,818,118,434.38/56,381.54
  6. Step 6: Final answer
    x = 49,983.00

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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.