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Finding the Fourth Proportional to 35,230, 48,616.32 and 19,314.04

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Solution

The fourth proportional to 35,230, 48,616.32 and 19,314.04 is: 26,652.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,230 : 48,616.32 = 19,314.04 : x
  2. Step 2: Convert to fraction form
    35,230/48,616.32 = 19,314.04/x
  3. Step 3: Cross multiply
    35,230x = 48,616.32 × 19,314.04
  4. Step 4: Simplify right side
    35,230x = 938,977,549.13
  5. Step 5: Solve for x
    x = 938,977,549.13/35,230
  6. Step 6: Final answer
    x = 26,652.78

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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.