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Finding the Fourth Proportional to 34,434.50, 51,646.90 and 11,057.90

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Solution

The fourth proportional to 34,434.50, 51,646.90 and 11,057.90 is: 16,585.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,434.50 : 51,646.90 = 11,057.90 : x
  2. Step 2: Convert to fraction form
    34,434.50/51,646.90 = 11,057.90/x
  3. Step 3: Cross multiply
    34,434.50x = 51,646.90 × 11,057.90
  4. Step 4: Simplify right side
    34,434.50x = 571,106,255.51
  5. Step 5: Solve for x
    x = 571,106,255.51/34,434.50
  6. Step 6: Final answer
    x = 16,585.29

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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.