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Finding the Fourth Proportional to 74,506.53, 102,822.75 and 46,221.33

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Solution

The fourth proportional to 74,506.53, 102,822.75 and 46,221.33 is: 63,787.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,506.53 : 102,822.75 = 46,221.33 : x
  2. Step 2: Convert to fraction form
    74,506.53/102,822.75 = 46,221.33/x
  3. Step 3: Cross multiply
    74,506.53x = 102,822.75 × 46,221.33
  4. Step 4: Simplify right side
    74,506.53x = 4,752,604,259.26
  5. Step 5: Solve for x
    x = 4,752,604,259.26/74,506.53
  6. Step 6: Final answer
    x = 63,787.75

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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.