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Finding the Fourth Proportional to 49,577.70, 74,366.70 and 34,852.50

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Solution

The fourth proportional to 49,577.70, 74,366.70 and 34,852.50 is: 52,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,577.70 : 74,366.70 = 34,852.50 : x
  2. Step 2: Convert to fraction form
    49,577.70/74,366.70 = 34,852.50/x
  3. Step 3: Cross multiply
    49,577.70x = 74,366.70 × 34,852.50
  4. Step 4: Simplify right side
    49,577.70x = 2,591,865,411.75
  5. Step 5: Solve for x
    x = 2,591,865,411.75/49,577.70
  6. Step 6: Final answer
    x = 52,278.86

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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.