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Finding the Fourth Proportional to 27,345, 37,727.46 and 16,729.32

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Solution

The fourth proportional to 27,345, 37,727.46 and 16,729.32 is: 23,081.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,345 : 37,727.46 = 16,729.32 : x
  2. Step 2: Convert to fraction form
    27,345/37,727.46 = 16,729.32/x
  3. Step 3: Cross multiply
    27,345x = 37,727.46 × 16,729.32
  4. Step 4: Simplify right side
    27,345x = 631,154,751.13
  5. Step 5: Solve for x
    x = 631,154,751.13/27,345
  6. Step 6: Final answer
    x = 23,081.18

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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.