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Finding the Fourth Proportional to 34,129.34, 51,199.48 and 10,116.08

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Solution

The fourth proportional to 34,129.34, 51,199.48 and 10,116.08 is: 15,175.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,129.34 : 51,199.48 = 10,116.08 : x
  2. Step 2: Convert to fraction form
    34,129.34/51,199.48 = 10,116.08/x
  3. Step 3: Cross multiply
    34,129.34x = 51,199.48 × 10,116.08
  4. Step 4: Simplify right side
    34,129.34x = 517,938,035.64
  5. Step 5: Solve for x
    x = 517,938,035.64/34,129.34
  6. Step 6: Final answer
    x = 15,175.74

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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.