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Finding the Fourth Proportional to 84,698.46, 116,880.57 and 46,971.90

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Solution

The fourth proportional to 84,698.46, 116,880.57 and 46,971.90 is: 64,819.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,698.46 : 116,880.57 = 46,971.90 : x
  2. Step 2: Convert to fraction form
    84,698.46/116,880.57 = 46,971.90/x
  3. Step 3: Cross multiply
    84,698.46x = 116,880.57 × 46,971.90
  4. Step 4: Simplify right side
    84,698.46x = 5,490,102,445.98
  5. Step 5: Solve for x
    x = 5,490,102,445.98/84,698.46
  6. Step 6: Final answer
    x = 64,819.39

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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.