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Finding the Fourth Proportional to 34,647.85, 47,802.32 and 28,263.35

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Solution

The fourth proportional to 34,647.85, 47,802.32 and 28,263.35 is: 38,993.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,647.85 : 47,802.32 = 28,263.35 : x
  2. Step 2: Convert to fraction form
    34,647.85/47,802.32 = 28,263.35/x
  3. Step 3: Cross multiply
    34,647.85x = 47,802.32 × 28,263.35
  4. Step 4: Simplify right side
    34,647.85x = 1,351,053,516.26
  5. Step 5: Solve for x
    x = 1,351,053,516.26/34,647.85
  6. Step 6: Final answer
    x = 38,993.86

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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.