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Finding the Fourth Proportional to 34,794.51, 52,193.66 and 9,836.52

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Solution

The fourth proportional to 34,794.51, 52,193.66 and 9,836.52 is: 14,755.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,794.51 : 52,193.66 = 9,836.52 : x
  2. Step 2: Convert to fraction form
    34,794.51/52,193.66 = 9,836.52/x
  3. Step 3: Cross multiply
    34,794.51x = 52,193.66 × 9,836.52
  4. Step 4: Simplify right side
    34,794.51x = 513,403,931.28
  5. Step 5: Solve for x
    x = 513,403,931.28/34,794.51
  6. Step 6: Final answer
    x = 14,755.31

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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.