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Finding the Fourth Proportional to 51,782.34, 77,506.42 and 26,787.96

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Solution

The fourth proportional to 51,782.34, 77,506.42 and 26,787.96 is: 40,095.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,782.34 : 77,506.42 = 26,787.96 : x
  2. Step 2: Convert to fraction form
    51,782.34/77,506.42 = 26,787.96/x
  3. Step 3: Cross multiply
    51,782.34x = 77,506.42 × 26,787.96
  4. Step 4: Simplify right side
    51,782.34x = 2,076,238,878.70
  5. Step 5: Solve for x
    x = 2,076,238,878.70/51,782.34
  6. Step 6: Final answer
    x = 40,095.50

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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.