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Finding the Fourth Proportional to 47,698.36, 65,820.63 and 29,792.32

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Solution

The fourth proportional to 47,698.36, 65,820.63 and 29,792.32 is: 41,111.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,698.36 : 65,820.63 = 29,792.32 : x
  2. Step 2: Convert to fraction form
    47,698.36/65,820.63 = 29,792.32/x
  3. Step 3: Cross multiply
    47,698.36x = 65,820.63 × 29,792.32
  4. Step 4: Simplify right side
    47,698.36x = 1,960,949,271.56
  5. Step 5: Solve for x
    x = 1,960,949,271.56/47,698.36
  6. Step 6: Final answer
    x = 41,111.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.