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Finding the Fourth Proportional to 38,425.40, 53,026.96 and 21,429.67

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Solution

The fourth proportional to 38,425.40, 53,026.96 and 21,429.67 is: 29,572.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,425.40 : 53,026.96 = 21,429.67 : x
  2. Step 2: Convert to fraction form
    38,425.40/53,026.96 = 21,429.67/x
  3. Step 3: Cross multiply
    38,425.40x = 53,026.96 × 21,429.67
  4. Step 4: Simplify right side
    38,425.40x = 1,136,350,207.37
  5. Step 5: Solve for x
    x = 1,136,350,207.37/38,425.40
  6. Step 6: Final answer
    x = 29,572.89

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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.