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Finding the Fourth Proportional to 34,732.26, 52,090.16 and 9,774.54

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Solution

The fourth proportional to 34,732.26, 52,090.16 and 9,774.54 is: 14,659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,732.26 : 52,090.16 = 9,774.54 : x
  2. Step 2: Convert to fraction form
    34,732.26/52,090.16 = 9,774.54/x
  3. Step 3: Cross multiply
    34,732.26x = 52,090.16 × 9,774.54
  4. Step 4: Simplify right side
    34,732.26x = 509,157,303.65
  5. Step 5: Solve for x
    x = 509,157,303.65/34,732.26
  6. Step 6: Final answer
    x = 14,659.49

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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.