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Finding the Fourth Proportional to 34,045.50, 51,067.89 and 13,283.58

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Solution

The fourth proportional to 34,045.50, 51,067.89 and 13,283.58 is: 19,925.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,045.50 : 51,067.89 = 13,283.58 : x
  2. Step 2: Convert to fraction form
    34,045.50/51,067.89 = 13,283.58/x
  3. Step 3: Cross multiply
    34,045.50x = 51,067.89 × 13,283.58
  4. Step 4: Simplify right side
    34,045.50x = 678,364,402.25
  5. Step 5: Solve for x
    x = 678,364,402.25/34,045.50
  6. Step 6: Final answer
    x = 19,925.23

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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.