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Finding the Fourth Proportional to 32,070.83, 44,257.74 and 17,535.06

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Solution

The fourth proportional to 32,070.83, 44,257.74 and 17,535.06 is: 24,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,070.83 : 44,257.74 = 17,535.06 : x
  2. Step 2: Convert to fraction form
    32,070.83/44,257.74 = 17,535.06/x
  3. Step 3: Cross multiply
    32,070.83x = 44,257.74 × 17,535.06
  4. Step 4: Simplify right side
    32,070.83x = 776,062,292.33
  5. Step 5: Solve for x
    x = 776,062,292.33/32,070.83
  6. Step 6: Final answer
    x = 24,198.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.