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Finding the Fourth Proportional to 47,698.14, 65,810.10 and 29,811.32

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Solution

The fourth proportional to 47,698.14, 65,810.10 and 29,811.32 is: 41,131.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,698.14 : 65,810.10 = 29,811.32 : x
  2. Step 2: Convert to fraction form
    47,698.14/65,810.10 = 29,811.32/x
  3. Step 3: Cross multiply
    47,698.14x = 65,810.10 × 29,811.32
  4. Step 4: Simplify right side
    47,698.14x = 1,961,885,950.33
  5. Step 5: Solve for x
    x = 1,961,885,950.33/47,698.14
  6. Step 6: Final answer
    x = 41,131.29

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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.