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Finding the Fourth Proportional to 34,400.40, 51,605.37 and 12,208.50

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Solution

The fourth proportional to 34,400.40, 51,605.37 and 12,208.50 is: 18,314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,400.40 : 51,605.37 = 12,208.50 : x
  2. Step 2: Convert to fraction form
    34,400.40/51,605.37 = 12,208.50/x
  3. Step 3: Cross multiply
    34,400.40x = 51,605.37 × 12,208.50
  4. Step 4: Simplify right side
    34,400.40x = 630,024,159.65
  5. Step 5: Solve for x
    x = 630,024,159.65/34,400.40
  6. Step 6: Final answer
    x = 18,314.45

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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.