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Finding the Fourth Proportional to 54,908.62, 75,782.04 and 34,767.38

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Solution

The fourth proportional to 54,908.62, 75,782.04 and 34,767.38 is: 47,984.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,908.62 : 75,782.04 = 34,767.38 : x
  2. Step 2: Convert to fraction form
    54,908.62/75,782.04 = 34,767.38/x
  3. Step 3: Cross multiply
    54,908.62x = 75,782.04 × 34,767.38
  4. Step 4: Simplify right side
    54,908.62x = 2,634,742,981.86
  5. Step 5: Solve for x
    x = 2,634,742,981.86/54,908.62
  6. Step 6: Final answer
    x = 47,984.14

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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.