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Finding the Fourth Proportional to 84,955, 117,238.04 and 47,229.25

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Solution

The fourth proportional to 84,955, 117,238.04 and 47,229.25 is: 65,176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,955 : 117,238.04 = 47,229.25 : x
  2. Step 2: Convert to fraction form
    84,955/117,238.04 = 47,229.25/x
  3. Step 3: Cross multiply
    84,955x = 117,238.04 × 47,229.25
  4. Step 4: Simplify right side
    84,955x = 5,537,064,700.67
  5. Step 5: Solve for x
    x = 5,537,064,700.67/84,955
  6. Step 6: Final answer
    x = 65,176.44

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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.