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Finding the Fourth Proportional to 38,424.19, 53,025.79 and 21,657.19

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Solution

The fourth proportional to 38,424.19, 53,025.79 and 21,657.19 is: 29,887.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,424.19 : 53,025.79 = 21,657.19 : x
  2. Step 2: Convert to fraction form
    38,424.19/53,025.79 = 21,657.19/x
  3. Step 3: Cross multiply
    38,424.19x = 53,025.79 × 21,657.19
  4. Step 4: Simplify right side
    38,424.19x = 1,148,389,608.93
  5. Step 5: Solve for x
    x = 1,148,389,608.93/38,424.19
  6. Step 6: Final answer
    x = 29,887.15

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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.