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Finding the Fourth Proportional to 47,235, 65,184.30 and 26,014.22

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Solution

The fourth proportional to 47,235, 65,184.30 and 26,014.22 is: 35,899.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,235 : 65,184.30 = 26,014.22 : x
  2. Step 2: Convert to fraction form
    47,235/65,184.30 = 26,014.22/x
  3. Step 3: Cross multiply
    47,235x = 65,184.30 × 26,014.22
  4. Step 4: Simplify right side
    47,235x = 1,695,718,720.75
  5. Step 5: Solve for x
    x = 1,695,718,720.75/47,235
  6. Step 6: Final answer
    x = 35,899.62

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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.