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Finding the Fourth Proportional to 34,585.74, 51,899.61 and 13,807.50

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Solution

The fourth proportional to 34,585.74, 51,899.61 and 13,807.50 is: 20,719.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,585.74 : 51,899.61 = 13,807.50 : x
  2. Step 2: Convert to fraction form
    34,585.74/51,899.61 = 13,807.50/x
  3. Step 3: Cross multiply
    34,585.74x = 51,899.61 × 13,807.50
  4. Step 4: Simplify right side
    34,585.74x = 716,603,865.08
  5. Step 5: Solve for x
    x = 716,603,865.08/34,585.74
  6. Step 6: Final answer
    x = 20,719.63

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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.