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Finding the Fourth Proportional to 52,219, 72,062.22 and 29,863

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Solution

The fourth proportional to 52,219, 72,062.22 and 29,863 is: 41,210.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,219 : 72,062.22 = 29,863 : x
  2. Step 2: Convert to fraction form
    52,219/72,062.22 = 29,863/x
  3. Step 3: Cross multiply
    52,219x = 72,062.22 × 29,863
  4. Step 4: Simplify right side
    52,219x = 2,151,994,075.86
  5. Step 5: Solve for x
    x = 2,151,994,075.86/52,219
  6. Step 6: Final answer
    x = 41,210.94

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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.