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Finding the Fourth Proportional to 54,706.06, 81,917.09 and 46,858.91

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Solution

The fourth proportional to 54,706.06, 81,917.09 and 46,858.91 is: 70,166.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,706.06 : 81,917.09 = 46,858.91 : x
  2. Step 2: Convert to fraction form
    54,706.06/81,917.09 = 46,858.91/x
  3. Step 3: Cross multiply
    54,706.06x = 81,917.09 × 46,858.91
  4. Step 4: Simplify right side
    54,706.06x = 3,838,545,547.77
  5. Step 5: Solve for x
    x = 3,838,545,547.77/54,706.06
  6. Step 6: Final answer
    x = 70,166.73

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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.