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Finding the Fourth Proportional to 30,294.54, 45,416.30 and 14,490.63

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Solution

The fourth proportional to 30,294.54, 45,416.30 and 14,490.63 is: 21,723.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,294.54 : 45,416.30 = 14,490.63 : x
  2. Step 2: Convert to fraction form
    30,294.54/45,416.30 = 14,490.63/x
  3. Step 3: Cross multiply
    30,294.54x = 45,416.30 × 14,490.63
  4. Step 4: Simplify right side
    30,294.54x = 658,110,726.82
  5. Step 5: Solve for x
    x = 658,110,726.82/30,294.54
  6. Step 6: Final answer
    x = 21,723.74

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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.