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Finding the Fourth Proportional to 35,398, 48,854.10 and 22,820.32

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Solution

The fourth proportional to 35,398, 48,854.10 and 22,820.32 is: 31,495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,398 : 48,854.10 = 22,820.32 : x
  2. Step 2: Convert to fraction form
    35,398/48,854.10 = 22,820.32/x
  3. Step 3: Cross multiply
    35,398x = 48,854.10 × 22,820.32
  4. Step 4: Simplify right side
    35,398x = 1,114,866,195.31
  5. Step 5: Solve for x
    x = 1,114,866,195.31/35,398
  6. Step 6: Final answer
    x = 31,495.17

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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.