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Finding the Fourth Proportional to 32,706.72, 45,164.16 and 24,308.64

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Solution

The fourth proportional to 32,706.72, 45,164.16 and 24,308.64 is: 33,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,706.72 : 45,164.16 = 24,308.64 : x
  2. Step 2: Convert to fraction form
    32,706.72/45,164.16 = 24,308.64/x
  3. Step 3: Cross multiply
    32,706.72x = 45,164.16 × 24,308.64
  4. Step 4: Simplify right side
    32,706.72x = 1,097,879,306.34
  5. Step 5: Solve for x
    x = 1,097,879,306.34/32,706.72
  6. Step 6: Final answer
    x = 33,567.39

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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.