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Finding the Fourth Proportional to 30,223.64, 41,708.86 and 16,796.14

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Solution

The fourth proportional to 30,223.64, 41,708.86 and 16,796.14 is: 23,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,223.64 : 41,708.86 = 16,796.14 : x
  2. Step 2: Convert to fraction form
    30,223.64/41,708.86 = 16,796.14/x
  3. Step 3: Cross multiply
    30,223.64x = 41,708.86 × 16,796.14
  4. Step 4: Simplify right side
    30,223.64x = 700,547,851.80
  5. Step 5: Solve for x
    x = 700,547,851.80/30,223.64
  6. Step 6: Final answer
    x = 23,178.80

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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.