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Finding the Fourth Proportional to 46,786.78, 64,565.67 and 26,643.67

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Solution

The fourth proportional to 46,786.78, 64,565.67 and 26,643.67 is: 36,768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,786.78 : 64,565.67 = 26,643.67 : x
  2. Step 2: Convert to fraction form
    46,786.78/64,565.67 = 26,643.67/x
  3. Step 3: Cross multiply
    46,786.78x = 64,565.67 × 26,643.67
  4. Step 4: Simplify right side
    46,786.78x = 1,720,266,343.31
  5. Step 5: Solve for x
    x = 1,720,266,343.31/46,786.78
  6. Step 6: Final answer
    x = 36,768.21

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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.