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Finding the Fourth Proportional to 34,454.52, 51,681.69 and 9,494.69

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Solution

The fourth proportional to 34,454.52, 51,681.69 and 9,494.69 is: 14,242.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,454.52 : 51,681.69 = 9,494.69 : x
  2. Step 2: Convert to fraction form
    34,454.52/51,681.69 = 9,494.69/x
  3. Step 3: Cross multiply
    34,454.52x = 51,681.69 × 9,494.69
  4. Step 4: Simplify right side
    34,454.52x = 490,701,366.82
  5. Step 5: Solve for x
    x = 490,701,366.82/34,454.52
  6. Step 6: Final answer
    x = 14,242.00

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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.