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Finding the Fourth Proportional to 47,441, 65,466.04 and 26,219

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Solution

The fourth proportional to 47,441, 65,466.04 and 26,219 is: 36,180.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,441 : 65,466.04 = 26,219 : x
  2. Step 2: Convert to fraction form
    47,441/65,466.04 = 26,219/x
  3. Step 3: Cross multiply
    47,441x = 65,466.04 × 26,219
  4. Step 4: Simplify right side
    47,441x = 1,716,454,102.76
  5. Step 5: Solve for x
    x = 1,716,454,102.76/47,441
  6. Step 6: Final answer
    x = 36,180.82

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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.