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Finding the Fourth Proportional to 85,465.72, 117,948.26 and 47,225.30

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Solution

The fourth proportional to 85,465.72, 117,948.26 and 47,225.30 is: 65,173.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,465.72 : 117,948.26 = 47,225.30 : x
  2. Step 2: Convert to fraction form
    85,465.72/117,948.26 = 47,225.30/x
  3. Step 3: Cross multiply
    85,465.72x = 117,948.26 × 47,225.30
  4. Step 4: Simplify right side
    85,465.72x = 5,570,141,726.85
  5. Step 5: Solve for x
    x = 5,570,141,726.85/85,465.72
  6. Step 6: Final answer
    x = 65,173.99

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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.