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Finding the Fourth Proportional to 32,078.16, 44,268.84 and 17,931.60

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Solution

The fourth proportional to 32,078.16, 44,268.84 and 17,931.60 is: 24,746.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078.16 : 44,268.84 = 17,931.60 : x
  2. Step 2: Convert to fraction form
    32,078.16/44,268.84 = 17,931.60/x
  3. Step 3: Cross multiply
    32,078.16x = 44,268.84 × 17,931.60
  4. Step 4: Simplify right side
    32,078.16x = 793,811,131.34
  5. Step 5: Solve for x
    x = 793,811,131.34/32,078.16
  6. Step 6: Final answer
    x = 24,746.16

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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.