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Finding the Fourth Proportional to 49,089, 73,967.64 and 43,718.10

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Solution

The fourth proportional to 49,089, 73,967.64 and 43,718.10 is: 65,874.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,089 : 73,967.64 = 43,718.10 : x
  2. Step 2: Convert to fraction form
    49,089/73,967.64 = 43,718.10/x
  3. Step 3: Cross multiply
    49,089x = 73,967.64 × 43,718.10
  4. Step 4: Simplify right side
    49,089x = 3,233,724,682.28
  5. Step 5: Solve for x
    x = 3,233,724,682.28/49,089
  6. Step 6: Final answer
    x = 65,874.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.