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Finding the Fourth Proportional to 29,926.40, 44,889.32 and 11,458.40

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Solution

The fourth proportional to 29,926.40, 44,889.32 and 11,458.40 is: 17,187.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,926.40 : 44,889.32 = 11,458.40 : x
  2. Step 2: Convert to fraction form
    29,926.40/44,889.32 = 11,458.40/x
  3. Step 3: Cross multiply
    29,926.40x = 44,889.32 × 11,458.40
  4. Step 4: Simplify right side
    29,926.40x = 514,359,502.55
  5. Step 5: Solve for x
    x = 514,359,502.55/29,926.40
  6. Step 6: Final answer
    x = 17,187.49

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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.