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Finding the Fourth Proportional to 74,778, 103,193.64 and 44,970

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Solution

The fourth proportional to 74,778, 103,193.64 and 44,970 is: 62,058.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,778 : 103,193.64 = 44,970 : x
  2. Step 2: Convert to fraction form
    74,778/103,193.64 = 44,970/x
  3. Step 3: Cross multiply
    74,778x = 103,193.64 × 44,970
  4. Step 4: Simplify right side
    74,778x = 4,640,617,990.80
  5. Step 5: Solve for x
    x = 4,640,617,990.80/74,778
  6. Step 6: Final answer
    x = 62,058.60

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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.