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Finding the Fourth Proportional to 70,588.85, 105,818.28 and 30,582.69

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Solution

The fourth proportional to 70,588.85, 105,818.28 and 30,582.69 is: 45,845.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,588.85 : 105,818.28 = 30,582.69 : x
  2. Step 2: Convert to fraction form
    70,588.85/105,818.28 = 30,582.69/x
  3. Step 3: Cross multiply
    70,588.85x = 105,818.28 × 30,582.69
  4. Step 4: Simplify right side
    70,588.85x = 3,236,207,653.57
  5. Step 5: Solve for x
    x = 3,236,207,653.57/70,588.85
  6. Step 6: Final answer
    x = 45,845.88

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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.