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Finding the Fourth Proportional to 83,175.64, 114,782.25 and 47,365.67

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Solution

The fourth proportional to 83,175.64, 114,782.25 and 47,365.67 is: 65,364.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,175.64 : 114,782.25 = 47,365.67 : x
  2. Step 2: Convert to fraction form
    83,175.64/114,782.25 = 47,365.67/x
  3. Step 3: Cross multiply
    83,175.64x = 114,782.25 × 47,365.67
  4. Step 4: Simplify right side
    83,175.64x = 5,436,737,779.07
  5. Step 5: Solve for x
    x = 5,436,737,779.07/83,175.64
  6. Step 6: Final answer
    x = 65,364.55

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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.