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Finding the Fourth Proportional to 34,319.04, 51,467.60 and 10,940

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Solution

The fourth proportional to 34,319.04, 51,467.60 and 10,940 is: 16,406.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,319.04 : 51,467.60 = 10,940 : x
  2. Step 2: Convert to fraction form
    34,319.04/51,467.60 = 10,940/x
  3. Step 3: Cross multiply
    34,319.04x = 51,467.60 × 10,940
  4. Step 4: Simplify right side
    34,319.04x = 563,055,544
  5. Step 5: Solve for x
    x = 563,055,544/34,319.04
  6. Step 6: Final answer
    x = 16,406.51

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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.