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Finding the Fourth Proportional to 65,358.36, 90,194.54 and 37,064.06

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Solution

The fourth proportional to 65,358.36, 90,194.54 and 37,064.06 is: 51,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,358.36 : 90,194.54 = 37,064.06 : x
  2. Step 2: Convert to fraction form
    65,358.36/90,194.54 = 37,064.06/x
  3. Step 3: Cross multiply
    65,358.36x = 90,194.54 × 37,064.06
  4. Step 4: Simplify right side
    65,358.36x = 3,342,975,205.94
  5. Step 5: Solve for x
    x = 3,342,975,205.94/65,358.36
  6. Step 6: Final answer
    x = 51,148.39

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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.