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Finding the Fourth Proportional to 34,219.36, 51,332.28 and 13,438

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Solution

The fourth proportional to 34,219.36, 51,332.28 and 13,438 is: 20,158.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,219.36 : 51,332.28 = 13,438 : x
  2. Step 2: Convert to fraction form
    34,219.36/51,332.28 = 13,438/x
  3. Step 3: Cross multiply
    34,219.36x = 51,332.28 × 13,438
  4. Step 4: Simplify right side
    34,219.36x = 689,803,178.64
  5. Step 5: Solve for x
    x = 689,803,178.64/34,219.36
  6. Step 6: Final answer
    x = 20,158.27

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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.