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Finding the Fourth Proportional to 30,102.60, 45,181.67 and 15,322.17

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Solution

The fourth proportional to 30,102.60, 45,181.67 and 15,322.17 is: 22,997.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,102.60 : 45,181.67 = 15,322.17 : x
  2. Step 2: Convert to fraction form
    30,102.60/45,181.67 = 15,322.17/x
  3. Step 3: Cross multiply
    30,102.60x = 45,181.67 × 15,322.17
  4. Step 4: Simplify right side
    30,102.60x = 692,281,152.01
  5. Step 5: Solve for x
    x = 692,281,152.01/30,102.60
  6. Step 6: Final answer
    x = 22,997.39

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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.