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Finding the Fourth Proportional to 34,044, 51,065.64 and 13,282.08

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Solution

The fourth proportional to 34,044, 51,065.64 and 13,282.08 is: 19,922.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,044 : 51,065.64 = 13,282.08 : x
  2. Step 2: Convert to fraction form
    34,044/51,065.64 = 13,282.08/x
  3. Step 3: Cross multiply
    34,044x = 51,065.64 × 13,282.08
  4. Step 4: Simplify right side
    34,044x = 678,257,915.73
  5. Step 5: Solve for x
    x = 678,257,915.73/34,044
  6. Step 6: Final answer
    x = 19,922.98

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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.