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Finding the Fourth Proportional to 30,678.33, 46,018.53 and 8,489.86

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Solution

The fourth proportional to 30,678.33, 46,018.53 and 8,489.86 is: 12,735.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678.33 : 46,018.53 = 8,489.86 : x
  2. Step 2: Convert to fraction form
    30,678.33/46,018.53 = 8,489.86/x
  3. Step 3: Cross multiply
    30,678.33x = 46,018.53 × 8,489.86
  4. Step 4: Simplify right side
    30,678.33x = 390,690,877.11
  5. Step 5: Solve for x
    x = 390,690,877.11/30,678.33
  6. Step 6: Final answer
    x = 12,735.08

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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.