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Finding the Fourth Proportional to 47,495.77, 65,515.59 and 31,363.22

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Solution

The fourth proportional to 47,495.77, 65,515.59 and 31,363.22 is: 43,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,495.77 : 65,515.59 = 31,363.22 : x
  2. Step 2: Convert to fraction form
    47,495.77/65,515.59 = 31,363.22/x
  3. Step 3: Cross multiply
    47,495.77x = 65,515.59 × 31,363.22
  4. Step 4: Simplify right side
    47,495.77x = 2,054,780,026.39
  5. Step 5: Solve for x
    x = 2,054,780,026.39/47,495.77
  6. Step 6: Final answer
    x = 43,262.38

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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.