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Finding the Fourth Proportional to 97,380.31, 146,070.47 and 23,508.31

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Solution

The fourth proportional to 97,380.31, 146,070.47 and 23,508.31 is: 35,262.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,380.31 : 146,070.47 = 23,508.31 : x
  2. Step 2: Convert to fraction form
    97,380.31/146,070.47 = 23,508.31/x
  3. Step 3: Cross multiply
    97,380.31x = 146,070.47 × 23,508.31
  4. Step 4: Simplify right side
    97,380.31x = 3,433,869,890.61
  5. Step 5: Solve for x
    x = 3,433,869,890.61/97,380.31
  6. Step 6: Final answer
    x = 35,262.47

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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.