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Finding the Fourth Proportional to 32,785.64, 49,185.74 and 9,410.28

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Solution

The fourth proportional to 32,785.64, 49,185.74 and 9,410.28 is: 14,117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,785.64 : 49,185.74 = 9,410.28 : x
  2. Step 2: Convert to fraction form
    32,785.64/49,185.74 = 9,410.28/x
  3. Step 3: Cross multiply
    32,785.64x = 49,185.74 × 9,410.28
  4. Step 4: Simplify right side
    32,785.64x = 462,851,585.41
  5. Step 5: Solve for x
    x = 462,851,585.41/32,785.64
  6. Step 6: Final answer
    x = 14,117.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.