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Finding the Fourth Proportional to 30,026, 45,038.64 and 28,199.18

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Solution

The fourth proportional to 30,026, 45,038.64 and 28,199.18 is: 42,298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,026 : 45,038.64 = 28,199.18 : x
  2. Step 2: Convert to fraction form
    30,026/45,038.64 = 28,199.18/x
  3. Step 3: Cross multiply
    30,026x = 45,038.64 × 28,199.18
  4. Step 4: Simplify right side
    30,026x = 1,270,052,716.32
  5. Step 5: Solve for x
    x = 1,270,052,716.32/30,026
  6. Step 6: Final answer
    x = 42,298.43

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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.