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Finding the Fourth Proportional to 74,633.40, 102,978.54 and 46,322.28

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Solution

The fourth proportional to 74,633.40, 102,978.54 and 46,322.28 is: 63,915.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,633.40 : 102,978.54 = 46,322.28 : x
  2. Step 2: Convert to fraction form
    74,633.40/102,978.54 = 46,322.28/x
  3. Step 3: Cross multiply
    74,633.40x = 102,978.54 × 46,322.28
  4. Step 4: Simplify right side
    74,633.40x = 4,770,200,763.87
  5. Step 5: Solve for x
    x = 4,770,200,763.87/74,633.40
  6. Step 6: Final answer
    x = 63,915.09

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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.