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Finding the Fourth Proportional to 34,698.16, 47,883.16 and 18,782.48

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Solution

The fourth proportional to 34,698.16, 47,883.16 and 18,782.48 is: 25,919.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,698.16 : 47,883.16 = 18,782.48 : x
  2. Step 2: Convert to fraction form
    34,698.16/47,883.16 = 18,782.48/x
  3. Step 3: Cross multiply
    34,698.16x = 47,883.16 × 18,782.48
  4. Step 4: Simplify right side
    34,698.16x = 899,364,495.04
  5. Step 5: Solve for x
    x = 899,364,495.04/34,698.16
  6. Step 6: Final answer
    x = 25,919.66

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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.