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Finding the Fourth Proportional to 38,585.16, 53,246.67 and 21,357

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Solution

The fourth proportional to 38,585.16, 53,246.67 and 21,357 is: 29,472.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,585.16 : 53,246.67 = 21,357 : x
  2. Step 2: Convert to fraction form
    38,585.16/53,246.67 = 21,357/x
  3. Step 3: Cross multiply
    38,585.16x = 53,246.67 × 21,357
  4. Step 4: Simplify right side
    38,585.16x = 1,137,189,131.19
  5. Step 5: Solve for x
    x = 1,137,189,131.19/38,585.16
  6. Step 6: Final answer
    x = 29,472.19

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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.