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Finding the Fourth Proportional to 56,546.52, 78,024.06 and 36,663

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Solution

The fourth proportional to 56,546.52, 78,024.06 and 36,663 is: 50,588.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,546.52 : 78,024.06 = 36,663 : x
  2. Step 2: Convert to fraction form
    56,546.52/78,024.06 = 36,663/x
  3. Step 3: Cross multiply
    56,546.52x = 78,024.06 × 36,663
  4. Step 4: Simplify right side
    56,546.52x = 2,860,596,111.78
  5. Step 5: Solve for x
    x = 2,860,596,111.78/56,546.52
  6. Step 6: Final answer
    x = 50,588.37

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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.