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Finding the Fourth Proportional to 81,787.70, 122,681.55 and 46,730.90

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Solution

The fourth proportional to 81,787.70, 122,681.55 and 46,730.90 is: 70,096.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,787.70 : 122,681.55 = 46,730.90 : x
  2. Step 2: Convert to fraction form
    81,787.70/122,681.55 = 46,730.90/x
  3. Step 3: Cross multiply
    81,787.70x = 122,681.55 × 46,730.90
  4. Step 4: Simplify right side
    81,787.70x = 5,733,019,244.90
  5. Step 5: Solve for x
    x = 5,733,019,244.90/81,787.70
  6. Step 6: Final answer
    x = 70,096.35

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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.