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Finding the Fourth Proportional to 30,725.78, 46,088.69 and 8,539.16

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Solution

The fourth proportional to 30,725.78, 46,088.69 and 8,539.16 is: 12,808.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,725.78 : 46,088.69 = 8,539.16 : x
  2. Step 2: Convert to fraction form
    30,725.78/46,088.69 = 8,539.16/x
  3. Step 3: Cross multiply
    30,725.78x = 46,088.69 × 8,539.16
  4. Step 4: Simplify right side
    30,725.78x = 393,558,489.00
  5. Step 5: Solve for x
    x = 393,558,489.00/30,725.78
  6. Step 6: Final answer
    x = 12,808.74

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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.