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Finding the Fourth Proportional to 32,823.88, 45,295.38 and 18,675.40

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Solution

The fourth proportional to 32,823.88, 45,295.38 and 18,675.40 is: 25,771.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,823.88 : 45,295.38 = 18,675.40 : x
  2. Step 2: Convert to fraction form
    32,823.88/45,295.38 = 18,675.40/x
  3. Step 3: Cross multiply
    32,823.88x = 45,295.38 × 18,675.40
  4. Step 4: Simplify right side
    32,823.88x = 845,909,339.65
  5. Step 5: Solve for x
    x = 845,909,339.65/32,823.88
  6. Step 6: Final answer
    x = 25,771.16

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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.