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Finding the Fourth Proportional to 29,399.50, 44,095.74 and 9,673.16

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Solution

The fourth proportional to 29,399.50, 44,095.74 and 9,673.16 is: 14,508.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,399.50 : 44,095.74 = 9,673.16 : x
  2. Step 2: Convert to fraction form
    29,399.50/44,095.74 = 9,673.16/x
  3. Step 3: Cross multiply
    29,399.50x = 44,095.74 × 9,673.16
  4. Step 4: Simplify right side
    29,399.50x = 426,545,148.34
  5. Step 5: Solve for x
    x = 426,545,148.34/29,399.50
  6. Step 6: Final answer
    x = 14,508.59

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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.