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Finding the Fourth Proportional to 38,433.83, 53,038.74 and 21,439.17

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Solution

The fourth proportional to 38,433.83, 53,038.74 and 21,439.17 is: 29,586.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,433.83 : 53,038.74 = 21,439.17 : x
  2. Step 2: Convert to fraction form
    38,433.83/53,038.74 = 21,439.17/x
  3. Step 3: Cross multiply
    38,433.83x = 53,038.74 × 21,439.17
  4. Step 4: Simplify right side
    38,433.83x = 1,137,106,563.45
  5. Step 5: Solve for x
    x = 1,137,106,563.45/38,433.83
  6. Step 6: Final answer
    x = 29,586.09

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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.