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Finding the Fourth Proportional to 56,696.74, 84,923.61 and 46,116.54

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Solution

The fourth proportional to 56,696.74, 84,923.61 and 46,116.54 is: 69,075.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,696.74 : 84,923.61 = 46,116.54 : x
  2. Step 2: Convert to fraction form
    56,696.74/84,923.61 = 46,116.54/x
  3. Step 3: Cross multiply
    56,696.74x = 84,923.61 × 46,116.54
  4. Step 4: Simplify right side
    56,696.74x = 3,916,383,057.51
  5. Step 5: Solve for x
    x = 3,916,383,057.51/56,696.74
  6. Step 6: Final answer
    x = 69,075.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.