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Finding the Fourth Proportional to 54,358.88, 74,984.88 and 34,208.24

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Solution

The fourth proportional to 54,358.88, 74,984.88 and 34,208.24 is: 47,188.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,358.88 : 74,984.88 = 34,208.24 : x
  2. Step 2: Convert to fraction form
    54,358.88/74,984.88 = 34,208.24/x
  3. Step 3: Cross multiply
    54,358.88x = 74,984.88 × 34,208.24
  4. Step 4: Simplify right side
    54,358.88x = 2,565,100,771.41
  5. Step 5: Solve for x
    x = 2,565,100,771.41/54,358.88
  6. Step 6: Final answer
    x = 47,188.26

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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.