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Finding the Fourth Proportional to 47,231.40, 70,904.70 and 46,885.80

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Solution

The fourth proportional to 47,231.40, 70,904.70 and 46,885.80 is: 70,385.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,231.40 : 70,904.70 = 46,885.80 : x
  2. Step 2: Convert to fraction form
    47,231.40/70,904.70 = 46,885.80/x
  3. Step 3: Cross multiply
    47,231.40x = 70,904.70 × 46,885.80
  4. Step 4: Simplify right side
    47,231.40x = 3,324,423,583.26
  5. Step 5: Solve for x
    x = 3,324,423,583.26/47,231.40
  6. Step 6: Final answer
    x = 70,385.88

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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.