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Finding the Fourth Proportional to 52,705.53, 72,725.70 and 30,046.50

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Solution

The fourth proportional to 52,705.53, 72,725.70 and 30,046.50 is: 41,459.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,705.53 : 72,725.70 = 30,046.50 : x
  2. Step 2: Convert to fraction form
    52,705.53/72,725.70 = 30,046.50/x
  3. Step 3: Cross multiply
    52,705.53x = 72,725.70 × 30,046.50
  4. Step 4: Simplify right side
    52,705.53x = 2,185,152,745.05
  5. Step 5: Solve for x
    x = 2,185,152,745.05/52,705.53
  6. Step 6: Final answer
    x = 41,459.65

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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.