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Finding the Fourth Proportional to 29,628.50, 44,442.75 and 7,740.50

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Solution

The fourth proportional to 29,628.50, 44,442.75 and 7,740.50 is: 11,610.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,628.50 : 44,442.75 = 7,740.50 : x
  2. Step 2: Convert to fraction form
    29,628.50/44,442.75 = 7,740.50/x
  3. Step 3: Cross multiply
    29,628.50x = 44,442.75 × 7,740.50
  4. Step 4: Simplify right side
    29,628.50x = 344,009,106.38
  5. Step 5: Solve for x
    x = 344,009,106.38/29,628.50
  6. Step 6: Final answer
    x = 11,610.75

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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.