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Finding the Fourth Proportional to 38,409.08, 53,002.30 and 21,412.76

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Solution

The fourth proportional to 38,409.08, 53,002.30 and 21,412.76 is: 29,548.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,409.08 : 53,002.30 = 21,412.76 : x
  2. Step 2: Convert to fraction form
    38,409.08/53,002.30 = 21,412.76/x
  3. Step 3: Cross multiply
    38,409.08x = 53,002.30 × 21,412.76
  4. Step 4: Simplify right side
    38,409.08x = 1,134,925,529.35
  5. Step 5: Solve for x
    x = 1,134,925,529.35/38,409.08
  6. Step 6: Final answer
    x = 29,548.37

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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.