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Finding the Fourth Proportional to 53,323, 73,585.74 and 30,968.44

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Solution

The fourth proportional to 53,323, 73,585.74 and 30,968.44 is: 42,736.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,323 : 73,585.74 = 30,968.44 : x
  2. Step 2: Convert to fraction form
    53,323/73,585.74 = 30,968.44/x
  3. Step 3: Cross multiply
    53,323x = 73,585.74 × 30,968.44
  4. Step 4: Simplify right side
    53,323x = 2,278,835,574.05
  5. Step 5: Solve for x
    x = 2,278,835,574.05/53,323
  6. Step 6: Final answer
    x = 42,736.45

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1.5x scale

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.