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Finding the Fourth Proportional to 27,457.68, 41,162.16 and 13,410

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Solution

The fourth proportional to 27,457.68, 41,162.16 and 13,410 is: 20,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,457.68 : 41,162.16 = 13,410 : x
  2. Step 2: Convert to fraction form
    27,457.68/41,162.16 = 13,410/x
  3. Step 3: Cross multiply
    27,457.68x = 41,162.16 × 13,410
  4. Step 4: Simplify right side
    27,457.68x = 551,984,565.60
  5. Step 5: Solve for x
    x = 551,984,565.60/27,457.68
  6. Step 6: Final answer
    x = 20,103.10

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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.