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Finding the Fourth Proportional to 111,948, 154,488.24 and 61,647

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Solution

The fourth proportional to 111,948, 154,488.24 and 61,647 is: 85,072.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,948 : 154,488.24 = 61,647 : x
  2. Step 2: Convert to fraction form
    111,948/154,488.24 = 61,647/x
  3. Step 3: Cross multiply
    111,948x = 154,488.24 × 61,647
  4. Step 4: Simplify right side
    111,948x = 9,523,736,531.28
  5. Step 5: Solve for x
    x = 9,523,736,531.28/111,948
  6. Step 6: Final answer
    x = 85,072.86

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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.