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Finding the Fourth Proportional to 30,466.19, 45,682.53 and 9,400.47

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Solution

The fourth proportional to 30,466.19, 45,682.53 and 9,400.47 is: 14,095.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,466.19 : 45,682.53 = 9,400.47 : x
  2. Step 2: Convert to fraction form
    30,466.19/45,682.53 = 9,400.47/x
  3. Step 3: Cross multiply
    30,466.19x = 45,682.53 × 9,400.47
  4. Step 4: Simplify right side
    30,466.19x = 429,437,252.79
  5. Step 5: Solve for x
    x = 429,437,252.79/30,466.19
  6. Step 6: Final answer
    x = 14,095.54

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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.