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Finding the Fourth Proportional to 101,684.64, 152,436.24 and 51,736.80

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Solution

The fourth proportional to 101,684.64, 152,436.24 and 51,736.80 is: 77,559.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,684.64 : 152,436.24 = 51,736.80 : x
  2. Step 2: Convert to fraction form
    101,684.64/152,436.24 = 51,736.80/x
  3. Step 3: Cross multiply
    101,684.64x = 152,436.24 × 51,736.80
  4. Step 4: Simplify right side
    101,684.64x = 7,886,563,261.63
  5. Step 5: Solve for x
    x = 7,886,563,261.63/101,684.64
  6. Step 6: Final answer
    x = 77,559.04

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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.