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Finding the Fourth Proportional to 34,506.71, 51,772.22 and 16,988.84

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Solution

The fourth proportional to 34,506.71, 51,772.22 and 16,988.84 is: 25,489.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,506.71 : 51,772.22 = 16,988.84 : x
  2. Step 2: Convert to fraction form
    34,506.71/51,772.22 = 16,988.84/x
  3. Step 3: Cross multiply
    34,506.71x = 51,772.22 × 16,988.84
  4. Step 4: Simplify right side
    34,506.71x = 879,549,877.08
  5. Step 5: Solve for x
    x = 879,549,877.08/34,506.71
  6. Step 6: Final answer
    x = 25,489.24

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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.