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Finding the Fourth Proportional to 47,698.30, 65,818.78 and 27,561.67

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Solution

The fourth proportional to 47,698.30, 65,818.78 and 27,561.67 is: 38,032.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,698.30 : 65,818.78 = 27,561.67 : x
  2. Step 2: Convert to fraction form
    47,698.30/65,818.78 = 27,561.67/x
  3. Step 3: Cross multiply
    47,698.30x = 65,818.78 × 27,561.67
  4. Step 4: Simplify right side
    47,698.30x = 1,814,075,027.26
  5. Step 5: Solve for x
    x = 1,814,075,027.26/47,698.30
  6. Step 6: Final answer
    x = 38,032.28

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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.