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Finding the Fourth Proportional to 38,428.92, 53,032.01 and 21,434.27

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Solution

The fourth proportional to 38,428.92, 53,032.01 and 21,434.27 is: 29,579.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,428.92 : 53,032.01 = 21,434.27 : x
  2. Step 2: Convert to fraction form
    38,428.92/53,032.01 = 21,434.27/x
  3. Step 3: Cross multiply
    38,428.92x = 53,032.01 × 21,434.27
  4. Step 4: Simplify right side
    38,428.92x = 1,136,702,420.98
  5. Step 5: Solve for x
    x = 1,136,702,420.98/38,428.92
  6. Step 6: Final answer
    x = 29,579.35

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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.