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Finding the Fourth Proportional to 70,902.48, 106,347.24 and 21,654.48

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Solution

The fourth proportional to 70,902.48, 106,347.24 and 21,654.48 is: 32,479.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,902.48 : 106,347.24 = 21,654.48 : x
  2. Step 2: Convert to fraction form
    70,902.48/106,347.24 = 21,654.48/x
  3. Step 3: Cross multiply
    70,902.48x = 106,347.24 × 21,654.48
  4. Step 4: Simplify right side
    70,902.48x = 2,302,894,181.64
  5. Step 5: Solve for x
    x = 2,302,894,181.64/70,902.48
  6. Step 6: Final answer
    x = 32,479.74

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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.