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Finding the Fourth Proportional to 53,698.06, 74,103.39 and 29,824.12

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Solution

The fourth proportional to 53,698.06, 74,103.39 and 29,824.12 is: 41,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,698.06 : 74,103.39 = 29,824.12 : x
  2. Step 2: Convert to fraction form
    53,698.06/74,103.39 = 29,824.12/x
  3. Step 3: Cross multiply
    53,698.06x = 74,103.39 × 29,824.12
  4. Step 4: Simplify right side
    53,698.06x = 2,210,068,395.77
  5. Step 5: Solve for x
    x = 2,210,068,395.77/53,698.06
  6. Step 6: Final answer
    x = 41,157.32

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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.