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Finding the Fourth Proportional to 47,738.70, 66,746.70 and 47,738.70

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Solution

The fourth proportional to 47,738.70, 66,746.70 and 47,738.70 is: 66,746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,738.70 : 66,746.70 = 47,738.70 : x
  2. Step 2: Convert to fraction form
    47,738.70/66,746.70 = 47,738.70/x
  3. Step 3: Cross multiply
    47,738.70x = 66,746.70 × 47,738.70
  4. Step 4: Simplify right side
    47,738.70x = 3,186,400,687.29
  5. Step 5: Solve for x
    x = 3,186,400,687.29/47,738.70
  6. Step 6: Final answer
    x = 66,746.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.