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Finding the Fourth Proportional to 30,380.32, 45,492.58 and 21,007.42

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Solution

The fourth proportional to 30,380.32, 45,492.58 and 21,007.42 is: 31,457.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,380.32 : 45,492.58 = 21,007.42 : x
  2. Step 2: Convert to fraction form
    30,380.32/45,492.58 = 21,007.42/x
  3. Step 3: Cross multiply
    30,380.32x = 45,492.58 × 21,007.42
  4. Step 4: Simplify right side
    30,380.32x = 955,681,734.94
  5. Step 5: Solve for x
    x = 955,681,734.94/30,380.32
  6. Step 6: Final answer
    x = 31,457.26

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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.