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Finding the Fourth Proportional to 30,590.49, 45,885.19 and 8,403.78

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Solution

The fourth proportional to 30,590.49, 45,885.19 and 8,403.78 is: 12,605.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,590.49 : 45,885.19 = 8,403.78 : x
  2. Step 2: Convert to fraction form
    30,590.49/45,885.19 = 8,403.78/x
  3. Step 3: Cross multiply
    30,590.49x = 45,885.19 × 8,403.78
  4. Step 4: Simplify right side
    30,590.49x = 385,609,042.02
  5. Step 5: Solve for x
    x = 385,609,042.02/30,590.49
  6. Step 6: Final answer
    x = 12,605.52

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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.