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Finding the Fourth Proportional to 44,224, 61,030.24 and 24,352

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Solution

The fourth proportional to 44,224, 61,030.24 and 24,352 is: 33,606.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,224 : 61,030.24 = 24,352 : x
  2. Step 2: Convert to fraction form
    44,224/61,030.24 = 24,352/x
  3. Step 3: Cross multiply
    44,224x = 61,030.24 × 24,352
  4. Step 4: Simplify right side
    44,224x = 1,486,208,404.48
  5. Step 5: Solve for x
    x = 1,486,208,404.48/44,224
  6. Step 6: Final answer
    x = 33,606.38

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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.