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Finding the Fourth Proportional to 78,425.84, 117,639.16 and 19,261.53

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Solution

The fourth proportional to 78,425.84, 117,639.16 and 19,261.53 is: 28,892.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,425.84 : 117,639.16 = 19,261.53 : x
  2. Step 2: Convert to fraction form
    78,425.84/117,639.16 = 19,261.53/x
  3. Step 3: Cross multiply
    78,425.84x = 117,639.16 × 19,261.53
  4. Step 4: Simplify right side
    78,425.84x = 2,265,910,161.36
  5. Step 5: Solve for x
    x = 2,265,910,161.36/78,425.84
  6. Step 6: Final answer
    x = 28,892.39

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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.