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Finding the Fourth Proportional to 34,129.35, 51,194.02 and 9,505.35

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Solution

The fourth proportional to 34,129.35, 51,194.02 and 9,505.35 is: 14,258.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,129.35 : 51,194.02 = 9,505.35 : x
  2. Step 2: Convert to fraction form
    34,129.35/51,194.02 = 9,505.35/x
  3. Step 3: Cross multiply
    34,129.35x = 51,194.02 × 9,505.35
  4. Step 4: Simplify right side
    34,129.35x = 486,616,774.51
  5. Step 5: Solve for x
    x = 486,616,774.51/34,129.35
  6. Step 6: Final answer
    x = 14,258.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.