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Finding the Fourth Proportional to 29,605.50, 44,430.09 and 14,023.14

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Solution

The fourth proportional to 29,605.50, 44,430.09 and 14,023.14 is: 21,045.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,605.50 : 44,430.09 = 14,023.14 : x
  2. Step 2: Convert to fraction form
    29,605.50/44,430.09 = 14,023.14/x
  3. Step 3: Cross multiply
    29,605.50x = 44,430.09 × 14,023.14
  4. Step 4: Simplify right side
    29,605.50x = 623,049,372.28
  5. Step 5: Solve for x
    x = 623,049,372.28/29,605.50
  6. Step 6: Final answer
    x = 21,045.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.