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Finding the Fourth Proportional to 44,513, 61,427.94 and 24,641

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Solution

The fourth proportional to 44,513, 61,427.94 and 24,641 is: 34,004.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,513 : 61,427.94 = 24,641 : x
  2. Step 2: Convert to fraction form
    44,513/61,427.94 = 24,641/x
  3. Step 3: Cross multiply
    44,513x = 61,427.94 × 24,641
  4. Step 4: Simplify right side
    44,513x = 1,513,645,869.54
  5. Step 5: Solve for x
    x = 1,513,645,869.54/44,513
  6. Step 6: Final answer
    x = 34,004.58

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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.