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Finding the Fourth Proportional to 65,317.90, 90,142.27 and 36,646.65

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Solution

The fourth proportional to 65,317.90, 90,142.27 and 36,646.65 is: 50,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,317.90 : 90,142.27 = 36,646.65 : x
  2. Step 2: Convert to fraction form
    65,317.90/90,142.27 = 36,646.65/x
  3. Step 3: Cross multiply
    65,317.90x = 90,142.27 × 36,646.65
  4. Step 4: Simplify right side
    65,317.90x = 3,303,412,218.90
  5. Step 5: Solve for x
    x = 3,303,412,218.90/65,317.90
  6. Step 6: Final answer
    x = 50,574.38

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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.