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Finding the Fourth Proportional to 38,423.70, 53,023.65 and 21,428.46

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Solution

The fourth proportional to 38,423.70, 53,023.65 and 21,428.46 is: 29,570.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,423.70 : 53,023.65 = 21,428.46 : x
  2. Step 2: Convert to fraction form
    38,423.70/53,023.65 = 21,428.46/x
  3. Step 3: Cross multiply
    38,423.70x = 53,023.65 × 21,428.46
  4. Step 4: Simplify right side
    38,423.70x = 1,136,215,163.08
  5. Step 5: Solve for x
    x = 1,136,215,163.08/38,423.70
  6. Step 6: Final answer
    x = 29,570.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.