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Finding the Fourth Proportional to 29,605.16, 44,410.73 and 9,613.82

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Solution

The fourth proportional to 29,605.16, 44,410.73 and 9,613.82 is: 14,421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,605.16 : 44,410.73 = 9,613.82 : x
  2. Step 2: Convert to fraction form
    29,605.16/44,410.73 = 9,613.82/x
  3. Step 3: Cross multiply
    29,605.16x = 44,410.73 × 9,613.82
  4. Step 4: Simplify right side
    29,605.16x = 426,956,764.29
  5. Step 5: Solve for x
    x = 426,956,764.29/29,605.16
  6. Step 6: Final answer
    x = 14,421.70

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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.