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Finding the Fourth Proportional to 51,820.78, 77,327 and 46,235.73

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Solution

The fourth proportional to 51,820.78, 77,327 and 46,235.73 is: 68,992.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,820.78 : 77,327 = 46,235.73 : x
  2. Step 2: Convert to fraction form
    51,820.78/77,327 = 46,235.73/x
  3. Step 3: Cross multiply
    51,820.78x = 77,327 × 46,235.73
  4. Step 4: Simplify right side
    51,820.78x = 3,575,270,293.71
  5. Step 5: Solve for x
    x = 3,575,270,293.71/51,820.78
  6. Step 6: Final answer
    x = 68,992.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.