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Finding the Fourth Proportional to 44,219, 61,022.28 and 24,347

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Solution

The fourth proportional to 44,219, 61,022.28 and 24,347 is: 33,598.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,219 : 61,022.28 = 24,347 : x
  2. Step 2: Convert to fraction form
    44,219/61,022.28 = 24,347/x
  3. Step 3: Cross multiply
    44,219x = 61,022.28 × 24,347
  4. Step 4: Simplify right side
    44,219x = 1,485,709,451.16
  5. Step 5: Solve for x
    x = 1,485,709,451.16/44,219
  6. Step 6: Final answer
    x = 33,598.89

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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.