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Finding the Fourth Proportional to 30,822.80, 46,255.80 and 13,305.20

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Solution

The fourth proportional to 30,822.80, 46,255.80 and 13,305.20 is: 19,967.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,822.80 : 46,255.80 = 13,305.20 : x
  2. Step 2: Convert to fraction form
    30,822.80/46,255.80 = 13,305.20/x
  3. Step 3: Cross multiply
    30,822.80x = 46,255.80 × 13,305.20
  4. Step 4: Simplify right side
    30,822.80x = 615,442,670.16
  5. Step 5: Solve for x
    x = 615,442,670.16/30,822.80
  6. Step 6: Final answer
    x = 19,967.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.