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Finding the Fourth Proportional to 47,772.86, 65,993.99 and 38,275.81

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Solution

The fourth proportional to 47,772.86, 65,993.99 and 38,275.81 is: 52,874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,772.86 : 65,993.99 = 38,275.81 : x
  2. Step 2: Convert to fraction form
    47,772.86/65,993.99 = 38,275.81/x
  3. Step 3: Cross multiply
    47,772.86x = 65,993.99 × 38,275.81
  4. Step 4: Simplify right side
    47,772.86x = 2,525,973,066.02
  5. Step 5: Solve for x
    x = 2,525,973,066.02/47,772.86
  6. Step 6: Final answer
    x = 52,874.65

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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.