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Finding the Fourth Proportional to 34,074.40, 51,114.12 and 11,885.08

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Solution

The fourth proportional to 34,074.40, 51,114.12 and 11,885.08 is: 17,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,074.40 : 51,114.12 = 11,885.08 : x
  2. Step 2: Convert to fraction form
    34,074.40/51,114.12 = 11,885.08/x
  3. Step 3: Cross multiply
    34,074.40x = 51,114.12 × 11,885.08
  4. Step 4: Simplify right side
    34,074.40x = 607,495,405.33
  5. Step 5: Solve for x
    x = 607,495,405.33/34,074.40
  6. Step 6: Final answer
    x = 17,828.50

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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.