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Finding the Fourth Proportional to 52,706.17, 72,787.64 and 33,594.95

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Solution

The fourth proportional to 52,706.17, 72,787.64 and 33,594.95 is: 46,394.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,706.17 : 72,787.64 = 33,594.95 : x
  2. Step 2: Convert to fraction form
    52,706.17/72,787.64 = 33,594.95/x
  3. Step 3: Cross multiply
    52,706.17x = 72,787.64 × 33,594.95
  4. Step 4: Simplify right side
    52,706.17x = 2,445,297,392.37
  5. Step 5: Solve for x
    x = 2,445,297,392.37/52,706.17
  6. Step 6: Final answer
    x = 46,394.90

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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.