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Finding the Fourth Proportional to 29,605.76, 44,430.54 and 14,023.42

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Solution

The fourth proportional to 29,605.76, 44,430.54 and 14,023.42 is: 21,045.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,605.76 : 44,430.54 = 14,023.42 : x
  2. Step 2: Convert to fraction form
    29,605.76/44,430.54 = 14,023.42/x
  3. Step 3: Cross multiply
    29,605.76x = 44,430.54 × 14,023.42
  4. Step 4: Simplify right side
    29,605.76x = 623,068,123.25
  5. Step 5: Solve for x
    x = 623,068,123.25/29,605.76
  6. Step 6: Final answer
    x = 21,045.50

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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.