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Finding the Fourth Proportional to 97,234.31, 145,851.48 and 23,362.31

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Solution

The fourth proportional to 97,234.31, 145,851.48 and 23,362.31 is: 35,043.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,234.31 : 145,851.48 = 23,362.31 : x
  2. Step 2: Convert to fraction form
    97,234.31/145,851.48 = 23,362.31/x
  3. Step 3: Cross multiply
    97,234.31x = 145,851.48 × 23,362.31
  4. Step 4: Simplify right side
    97,234.31x = 3,407,427,854.35
  5. Step 5: Solve for x
    x = 3,407,427,854.35/97,234.31
  6. Step 6: Final answer
    x = 35,043.47

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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.