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Finding the Fourth Proportional to 32,678.64, 45,097.16 and 18,531.18

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Solution

The fourth proportional to 32,678.64, 45,097.16 and 18,531.18 is: 25,573.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,678.64 : 45,097.16 = 18,531.18 : x
  2. Step 2: Convert to fraction form
    32,678.64/45,097.16 = 18,531.18/x
  3. Step 3: Cross multiply
    32,678.64x = 45,097.16 × 18,531.18
  4. Step 4: Simplify right side
    32,678.64x = 835,703,496.79
  5. Step 5: Solve for x
    x = 835,703,496.79/32,678.64
  6. Step 6: Final answer
    x = 25,573.39

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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.