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Finding the Fourth Proportional to 30,788.86, 46,188.15 and 10,007.50

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Solution

The fourth proportional to 30,788.86, 46,188.15 and 10,007.50 is: 15,012.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,788.86 : 46,188.15 = 10,007.50 : x
  2. Step 2: Convert to fraction form
    30,788.86/46,188.15 = 10,007.50/x
  3. Step 3: Cross multiply
    30,788.86x = 46,188.15 × 10,007.50
  4. Step 4: Simplify right side
    30,788.86x = 462,227,911.13
  5. Step 5: Solve for x
    x = 462,227,911.13/30,788.86
  6. Step 6: Final answer
    x = 15,012.83

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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.