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Finding the Fourth Proportional to 55,210.75, 82,816.13 and 13,657.75

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Solution

The fourth proportional to 55,210.75, 82,816.13 and 13,657.75 is: 20,486.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,210.75 : 82,816.13 = 13,657.75 : x
  2. Step 2: Convert to fraction form
    55,210.75/82,816.13 = 13,657.75/x
  3. Step 3: Cross multiply
    55,210.75x = 82,816.13 × 13,657.75
  4. Step 4: Simplify right side
    55,210.75x = 1,131,081,931.22
  5. Step 5: Solve for x
    x = 1,131,081,931.22/55,210.75
  6. Step 6: Final answer
    x = 20,486.63

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1.5x scale

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.