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Finding the Fourth Proportional to 29,870.64, 44,769 and 15,083.76

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Solution

The fourth proportional to 29,870.64, 44,769 and 15,083.76 is: 22,606.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,870.64 : 44,769 = 15,083.76 : x
  2. Step 2: Convert to fraction form
    29,870.64/44,769 = 15,083.76/x
  3. Step 3: Cross multiply
    29,870.64x = 44,769 × 15,083.76
  4. Step 4: Simplify right side
    29,870.64x = 675,284,851.44
  5. Step 5: Solve for x
    x = 675,284,851.44/29,870.64
  6. Step 6: Final answer
    x = 22,606.98

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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.