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Finding the Fourth Proportional to 53,824.36, 81,242.09 and 53,824.36

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Solution

The fourth proportional to 53,824.36, 81,242.09 and 53,824.36 is: 81,242.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,824.36 : 81,242.09 = 53,824.36 : x
  2. Step 2: Convert to fraction form
    53,824.36/81,242.09 = 53,824.36/x
  3. Step 3: Cross multiply
    53,824.36x = 81,242.09 × 53,824.36
  4. Step 4: Simplify right side
    53,824.36x = 4,372,803,499.31
  5. Step 5: Solve for x
    x = 4,372,803,499.31/53,824.36
  6. Step 6: Final answer
    x = 81,242.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.