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Finding the Fourth Proportional to 44,302, 61,136.76 and 24,430

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Solution

The fourth proportional to 44,302, 61,136.76 and 24,430 is: 33,713.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,302 : 61,136.76 = 24,430 : x
  2. Step 2: Convert to fraction form
    44,302/61,136.76 = 24,430/x
  3. Step 3: Cross multiply
    44,302x = 61,136.76 × 24,430
  4. Step 4: Simplify right side
    44,302x = 1,493,571,046.80
  5. Step 5: Solve for x
    x = 1,493,571,046.80/44,302
  6. Step 6: Final answer
    x = 33,713.40

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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.