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Finding the Fourth Proportional to 55,014, 75,920.52 and 33,504.74

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Solution

The fourth proportional to 55,014, 75,920.52 and 33,504.74 is: 46,237.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,014 : 75,920.52 = 33,504.74 : x
  2. Step 2: Convert to fraction form
    55,014/75,920.52 = 33,504.74/x
  3. Step 3: Cross multiply
    55,014x = 75,920.52 × 33,504.74
  4. Step 4: Simplify right side
    55,014x = 2,543,697,283.26
  5. Step 5: Solve for x
    x = 2,543,697,283.26/55,014
  6. Step 6: Final answer
    x = 46,237.27

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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.