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Finding the Fourth Proportional to 30,395.16, 41,941.56 and 16,967.16

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Solution

The fourth proportional to 30,395.16, 41,941.56 and 16,967.16 is: 23,412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,395.16 : 41,941.56 = 16,967.16 : x
  2. Step 2: Convert to fraction form
    30,395.16/41,941.56 = 16,967.16/x
  3. Step 3: Cross multiply
    30,395.16x = 41,941.56 × 16,967.16
  4. Step 4: Simplify right side
    30,395.16x = 711,629,159.17
  5. Step 5: Solve for x
    x = 711,629,159.17/30,395.16
  6. Step 6: Final answer
    x = 23,412.58

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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.