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Finding the Fourth Proportional to 38,643.34, 53,328.48 and 21,647.45

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Solution

The fourth proportional to 38,643.34, 53,328.48 and 21,647.45 is: 29,873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,643.34 : 53,328.48 = 21,647.45 : x
  2. Step 2: Convert to fraction form
    38,643.34/53,328.48 = 21,647.45/x
  3. Step 3: Cross multiply
    38,643.34x = 53,328.48 × 21,647.45
  4. Step 4: Simplify right side
    38,643.34x = 1,154,425,604.38
  5. Step 5: Solve for x
    x = 1,154,425,604.38/38,643.34
  6. Step 6: Final answer
    x = 29,873.86

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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.