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Finding the Fourth Proportional to 32,258.32, 48,405.90 and 12,534.32

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Solution

The fourth proportional to 32,258.32, 48,405.90 and 12,534.32 is: 18,808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,258.32 : 48,405.90 = 12,534.32 : x
  2. Step 2: Convert to fraction form
    32,258.32/48,405.90 = 12,534.32/x
  3. Step 3: Cross multiply
    32,258.32x = 48,405.90 × 12,534.32
  4. Step 4: Simplify right side
    32,258.32x = 606,735,040.49
  5. Step 5: Solve for x
    x = 606,735,040.49/32,258.32
  6. Step 6: Final answer
    x = 18,808.64

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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.