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Finding the Fourth Proportional to 34,734, 52,109.64 and 10,110

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Solution

The fourth proportional to 34,734, 52,109.64 and 10,110 is: 15,167.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,734 : 52,109.64 = 10,110 : x
  2. Step 2: Convert to fraction form
    34,734/52,109.64 = 10,110/x
  3. Step 3: Cross multiply
    34,734x = 52,109.64 × 10,110
  4. Step 4: Simplify right side
    34,734x = 526,828,460.40
  5. Step 5: Solve for x
    x = 526,828,460.40/34,734
  6. Step 6: Final answer
    x = 15,167.51

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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.