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Finding the Fourth Proportional to 38,424.95, 53,025.37 and 21,429.71

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Solution

The fourth proportional to 38,424.95, 53,025.37 and 21,429.71 is: 29,572.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,424.95 : 53,025.37 = 21,429.71 : x
  2. Step 2: Convert to fraction form
    38,424.95/53,025.37 = 21,429.71/x
  3. Step 3: Cross multiply
    38,424.95x = 53,025.37 × 21,429.71
  4. Step 4: Simplify right side
    38,424.95x = 1,136,318,301.74
  5. Step 5: Solve for x
    x = 1,136,318,301.74/38,424.95
  6. Step 6: Final answer
    x = 29,572.41

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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.