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Finding the Fourth Proportional to 38,830, 53,585.40 and 21,166

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Solution

The fourth proportional to 38,830, 53,585.40 and 21,166 is: 29,209.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,830 : 53,585.40 = 21,166 : x
  2. Step 2: Convert to fraction form
    38,830/53,585.40 = 21,166/x
  3. Step 3: Cross multiply
    38,830x = 53,585.40 × 21,166
  4. Step 4: Simplify right side
    38,830x = 1,134,188,576.40
  5. Step 5: Solve for x
    x = 1,134,188,576.40/38,830
  6. Step 6: Final answer
    x = 29,209.08

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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.