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Finding the Fourth Proportional to 38,824, 53,585.76 and 24,674.08

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Solution

The fourth proportional to 38,824, 53,585.76 and 24,674.08 is: 34,055.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,824 : 53,585.76 = 24,674.08 : x
  2. Step 2: Convert to fraction form
    38,824/53,585.76 = 24,674.08/x
  3. Step 3: Cross multiply
    38,824x = 53,585.76 × 24,674.08
  4. Step 4: Simplify right side
    38,824x = 1,322,179,329.10
  5. Step 5: Solve for x
    x = 1,322,179,329.10/38,824
  6. Step 6: Final answer
    x = 34,055.72

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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.