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Finding the Fourth Proportional to 82,881, 124,341.18 and 27,477

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Solution

The fourth proportional to 82,881, 124,341.18 and 27,477 is: 41,222.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,881 : 124,341.18 = 27,477 : x
  2. Step 2: Convert to fraction form
    82,881/124,341.18 = 27,477/x
  3. Step 3: Cross multiply
    82,881x = 124,341.18 × 27,477
  4. Step 4: Simplify right side
    82,881x = 3,416,522,602.86
  5. Step 5: Solve for x
    x = 3,416,522,602.86/82,881
  6. Step 6: Final answer
    x = 41,222.02

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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.