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Finding the Fourth Proportional to 30,492.90, 45,739.35 and 20,029.05

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Solution

The fourth proportional to 30,492.90, 45,739.35 and 20,029.05 is: 30,043.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,492.90 : 45,739.35 = 20,029.05 : x
  2. Step 2: Convert to fraction form
    30,492.90/45,739.35 = 20,029.05/x
  3. Step 3: Cross multiply
    30,492.90x = 45,739.35 × 20,029.05
  4. Step 4: Simplify right side
    30,492.90x = 916,115,728.12
  5. Step 5: Solve for x
    x = 916,115,728.12/30,492.90
  6. Step 6: Final answer
    x = 30,043.58

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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.