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Finding the Fourth Proportional to 30,615.89, 45,924.06 and 8,430.48

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Solution

The fourth proportional to 30,615.89, 45,924.06 and 8,430.48 is: 12,645.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,615.89 : 45,924.06 = 8,430.48 : x
  2. Step 2: Convert to fraction form
    30,615.89/45,924.06 = 8,430.48/x
  3. Step 3: Cross multiply
    30,615.89x = 45,924.06 × 8,430.48
  4. Step 4: Simplify right side
    30,615.89x = 387,161,869.35
  5. Step 5: Solve for x
    x = 387,161,869.35/30,615.89
  6. Step 6: Final answer
    x = 12,645.78

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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.