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Finding the Fourth Proportional to 86,738, 119,698.56 and 46,994

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Solution

The fourth proportional to 86,738, 119,698.56 and 46,994 is: 64,851.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,738 : 119,698.56 = 46,994 : x
  2. Step 2: Convert to fraction form
    86,738/119,698.56 = 46,994/x
  3. Step 3: Cross multiply
    86,738x = 119,698.56 × 46,994
  4. Step 4: Simplify right side
    86,738x = 5,625,114,128.64
  5. Step 5: Solve for x
    x = 5,625,114,128.64/86,738
  6. Step 6: Final answer
    x = 64,851.79

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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.