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Finding the Fourth Proportional to 70,658.40, 105,933.60 and 35,623.20

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Solution

The fourth proportional to 70,658.40, 105,933.60 and 35,623.20 is: 53,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,658.40 : 105,933.60 = 35,623.20 : x
  2. Step 2: Convert to fraction form
    70,658.40/105,933.60 = 35,623.20/x
  3. Step 3: Cross multiply
    70,658.40x = 105,933.60 × 35,623.20
  4. Step 4: Simplify right side
    70,658.40x = 3,773,693,819.52
  5. Step 5: Solve for x
    x = 3,773,693,819.52/70,658.40
  6. Step 6: Final answer
    x = 53,407.58

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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.