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Finding the Fourth Proportional to 38,435.84, 53,039.40 and 21,667.76

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Solution

The fourth proportional to 38,435.84, 53,039.40 and 21,667.76 is: 29,900.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,435.84 : 53,039.40 = 21,667.76 : x
  2. Step 2: Convert to fraction form
    38,435.84/53,039.40 = 21,667.76/x
  3. Step 3: Cross multiply
    38,435.84x = 53,039.40 × 21,667.76
  4. Step 4: Simplify right side
    38,435.84x = 1,149,244,989.74
  5. Step 5: Solve for x
    x = 1,149,244,989.74/38,435.84
  6. Step 6: Final answer
    x = 29,900.35

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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.