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Finding the Fourth Proportional to 44,546, 61,473.48 and 24,677.84

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Solution

The fourth proportional to 44,546, 61,473.48 and 24,677.84 is: 34,055.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,546 : 61,473.48 = 24,677.84 : x
  2. Step 2: Convert to fraction form
    44,546/61,473.48 = 24,677.84/x
  3. Step 3: Cross multiply
    44,546x = 61,473.48 × 24,677.84
  4. Step 4: Simplify right side
    44,546x = 1,517,032,703.68
  5. Step 5: Solve for x
    x = 1,517,032,703.68/44,546
  6. Step 6: Final answer
    x = 34,055.42

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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.