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Finding the Fourth Proportional to 34,388.94, 51,583.45 and 9,429.20

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Solution

The fourth proportional to 34,388.94, 51,583.45 and 9,429.20 is: 14,143.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,388.94 : 51,583.45 = 9,429.20 : x
  2. Step 2: Convert to fraction form
    34,388.94/51,583.45 = 9,429.20/x
  3. Step 3: Cross multiply
    34,388.94x = 51,583.45 × 9,429.20
  4. Step 4: Simplify right side
    34,388.94x = 486,390,666.74
  5. Step 5: Solve for x
    x = 486,390,666.74/34,388.94
  6. Step 6: Final answer
    x = 14,143.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.