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Finding the Fourth Proportional to 38,153.34, 52,651.53 and 21,386.34

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Solution

The fourth proportional to 38,153.34, 52,651.53 and 21,386.34 is: 29,513.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,153.34 : 52,651.53 = 21,386.34 : x
  2. Step 2: Convert to fraction form
    38,153.34/52,651.53 = 21,386.34/x
  3. Step 3: Cross multiply
    38,153.34x = 52,651.53 × 21,386.34
  4. Step 4: Simplify right side
    38,153.34x = 1,126,023,522.10
  5. Step 5: Solve for x
    x = 1,126,023,522.10/38,153.34
  6. Step 6: Final answer
    x = 29,513.10

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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.