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Finding the Fourth Proportional to 52,497, 72,445.86 and 30,145.32

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Solution

The fourth proportional to 52,497, 72,445.86 and 30,145.32 is: 41,600.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,497 : 72,445.86 = 30,145.32 : x
  2. Step 2: Convert to fraction form
    52,497/72,445.86 = 30,145.32/x
  3. Step 3: Cross multiply
    52,497x = 72,445.86 × 30,145.32
  4. Step 4: Simplify right side
    52,497x = 2,183,903,632.38
  5. Step 5: Solve for x
    x = 2,183,903,632.38/52,497
  6. Step 6: Final answer
    x = 41,600.54

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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.