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Finding the Fourth Proportional to 97,497.88, 146,247.54 and 30,938.20

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Solution

The fourth proportional to 97,497.88, 146,247.54 and 30,938.20 is: 46,407.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,497.88 : 146,247.54 = 30,938.20 : x
  2. Step 2: Convert to fraction form
    97,497.88/146,247.54 = 30,938.20/x
  3. Step 3: Cross multiply
    97,497.88x = 146,247.54 × 30,938.20
  4. Step 4: Simplify right side
    97,497.88x = 4,524,635,642.03
  5. Step 5: Solve for x
    x = 4,524,635,642.03/97,497.88
  6. Step 6: Final answer
    x = 46,407.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.