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Finding the Fourth Proportional to 54,765, 75,575.70 and 29,614.50

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Solution

The fourth proportional to 54,765, 75,575.70 and 29,614.50 is: 40,868.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,765 : 75,575.70 = 29,614.50 : x
  2. Step 2: Convert to fraction form
    54,765/75,575.70 = 29,614.50/x
  3. Step 3: Cross multiply
    54,765x = 75,575.70 × 29,614.50
  4. Step 4: Simplify right side
    54,765x = 2,238,136,567.65
  5. Step 5: Solve for x
    x = 2,238,136,567.65/54,765
  6. Step 6: Final answer
    x = 40,868.01

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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.