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Finding the Fourth Proportional to 30,783.60, 46,177.82 and 9,725.26

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Solution

The fourth proportional to 30,783.60, 46,177.82 and 9,725.26 is: 14,588.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,783.60 : 46,177.82 = 9,725.26 : x
  2. Step 2: Convert to fraction form
    30,783.60/46,177.82 = 9,725.26/x
  3. Step 3: Cross multiply
    30,783.60x = 46,177.82 × 9,725.26
  4. Step 4: Simplify right side
    30,783.60x = 449,091,305.73
  5. Step 5: Solve for x
    x = 449,091,305.73/30,783.60
  6. Step 6: Final answer
    x = 14,588.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.