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Finding the Fourth Proportional to 34,028.50, 51,064.65 and 13,252

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Solution

The fourth proportional to 34,028.50, 51,064.65 and 13,252 is: 19,886.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,028.50 : 51,064.65 = 13,252 : x
  2. Step 2: Convert to fraction form
    34,028.50/51,064.65 = 13,252/x
  3. Step 3: Cross multiply
    34,028.50x = 51,064.65 × 13,252
  4. Step 4: Simplify right side
    34,028.50x = 676,708,741.80
  5. Step 5: Solve for x
    x = 676,708,741.80/34,028.50
  6. Step 6: Final answer
    x = 19,886.53

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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.