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Finding the Fourth Proportional to 38,715.84, 53,434.08 and 21,954.24

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Solution

The fourth proportional to 38,715.84, 53,434.08 and 21,954.24 is: 30,300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,715.84 : 53,434.08 = 21,954.24 : x
  2. Step 2: Convert to fraction form
    38,715.84/53,434.08 = 21,954.24/x
  3. Step 3: Cross multiply
    38,715.84x = 53,434.08 × 21,954.24
  4. Step 4: Simplify right side
    38,715.84x = 1,173,104,616.50
  5. Step 5: Solve for x
    x = 1,173,104,616.50/38,715.84
  6. Step 6: Final answer
    x = 30,300.38

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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.