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Finding the Fourth Proportional to 35,482, 48,965.16 and 22,078.48

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Solution

The fourth proportional to 35,482, 48,965.16 and 22,078.48 is: 30,468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,482 : 48,965.16 = 22,078.48 : x
  2. Step 2: Convert to fraction form
    35,482/48,965.16 = 22,078.48/x
  3. Step 3: Cross multiply
    35,482x = 48,965.16 × 22,078.48
  4. Step 4: Simplify right side
    35,482x = 1,081,076,305.76
  5. Step 5: Solve for x
    x = 1,081,076,305.76/35,482
  6. Step 6: Final answer
    x = 30,468.30

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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.