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Finding the Fourth Proportional to 30,378.64, 45,492.63 and 21,028

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Solution

The fourth proportional to 30,378.64, 45,492.63 and 21,028 is: 31,489.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.64 : 45,492.63 = 21,028 : x
  2. Step 2: Convert to fraction form
    30,378.64/45,492.63 = 21,028/x
  3. Step 3: Cross multiply
    30,378.64x = 45,492.63 × 21,028
  4. Step 4: Simplify right side
    30,378.64x = 956,619,023.64
  5. Step 5: Solve for x
    x = 956,619,023.64/30,378.64
  6. Step 6: Final answer
    x = 31,489.86

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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.