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Finding the Fourth Proportional to 61,978.14, 92,966.40 and 15,231.42

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Solution

The fourth proportional to 61,978.14, 92,966.40 and 15,231.42 is: 22,846.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,978.14 : 92,966.40 = 15,231.42 : x
  2. Step 2: Convert to fraction form
    61,978.14/92,966.40 = 15,231.42/x
  3. Step 3: Cross multiply
    61,978.14x = 92,966.40 × 15,231.42
  4. Step 4: Simplify right side
    61,978.14x = 1,416,010,284.29
  5. Step 5: Solve for x
    x = 1,416,010,284.29/61,978.14
  6. Step 6: Final answer
    x = 22,846.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.