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Finding the Fourth Proportional to 52,590, 72,582.84 and 30,229.68

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Solution

The fourth proportional to 52,590, 72,582.84 and 30,229.68 is: 41,721.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,590 : 72,582.84 = 30,229.68 : x
  2. Step 2: Convert to fraction form
    52,590/72,582.84 = 30,229.68/x
  3. Step 3: Cross multiply
    52,590x = 72,582.84 × 30,229.68
  4. Step 4: Simplify right side
    52,590x = 2,194,156,026.69
  5. Step 5: Solve for x
    x = 2,194,156,026.69/52,590
  6. Step 6: Final answer
    x = 41,721.92

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1.5x scale

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.