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Finding the Fourth Proportional to 34,738.32, 51,802.30 and 34,422.50

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Solution

The fourth proportional to 34,738.32, 51,802.30 and 34,422.50 is: 51,331.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,738.32 : 51,802.30 = 34,422.50 : x
  2. Step 2: Convert to fraction form
    34,738.32/51,802.30 = 34,422.50/x
  3. Step 3: Cross multiply
    34,738.32x = 51,802.30 × 34,422.50
  4. Step 4: Simplify right side
    34,738.32x = 1,783,164,671.75
  5. Step 5: Solve for x
    x = 1,783,164,671.75/34,738.32
  6. Step 6: Final answer
    x = 51,331.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.