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Finding the Fourth Proportional to 78,063.84, 117,114.39 and 25,473.42

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Solution

The fourth proportional to 78,063.84, 117,114.39 and 25,473.42 is: 38,216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,063.84 : 117,114.39 = 25,473.42 : x
  2. Step 2: Convert to fraction form
    78,063.84/117,114.39 = 25,473.42/x
  3. Step 3: Cross multiply
    78,063.84x = 117,114.39 × 25,473.42
  4. Step 4: Simplify right side
    78,063.84x = 2,983,304,044.51
  5. Step 5: Solve for x
    x = 2,983,304,044.51/78,063.84
  6. Step 6: Final answer
    x = 38,216.21

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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.