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Finding the Fourth Proportional to 30,783.69, 46,182.66 and 9,725.82

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Solution

The fourth proportional to 30,783.69, 46,182.66 and 9,725.82 is: 14,590.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,783.69 : 46,182.66 = 9,725.82 : x
  2. Step 2: Convert to fraction form
    30,783.69/46,182.66 = 9,725.82/x
  3. Step 3: Cross multiply
    30,783.69x = 46,182.66 × 9,725.82
  4. Step 4: Simplify right side
    30,783.69x = 449,164,238.28
  5. Step 5: Solve for x
    x = 449,164,238.28/30,783.69
  6. Step 6: Final answer
    x = 14,590.98

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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.