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Finding the Fourth Proportional to 30,309.49, 41,827.11 and 16,883.32

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Solution

The fourth proportional to 30,309.49, 41,827.11 and 16,883.32 is: 23,298.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,309.49 : 41,827.11 = 16,883.32 : x
  2. Step 2: Convert to fraction form
    30,309.49/41,827.11 = 16,883.32/x
  3. Step 3: Cross multiply
    30,309.49x = 41,827.11 × 16,883.32
  4. Step 4: Simplify right side
    30,309.49x = 706,180,482.81
  5. Step 5: Solve for x
    x = 706,180,482.81/30,309.49
  6. Step 6: Final answer
    x = 23,298.99

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1.5x scale

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.