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Finding the Fourth Proportional to 30,415.64, 45,591.12 and 17,941.50

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Solution

The fourth proportional to 30,415.64, 45,591.12 and 17,941.50 is: 26,893.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,415.64 : 45,591.12 = 17,941.50 : x
  2. Step 2: Convert to fraction form
    30,415.64/45,591.12 = 17,941.50/x
  3. Step 3: Cross multiply
    30,415.64x = 45,591.12 × 17,941.50
  4. Step 4: Simplify right side
    30,415.64x = 817,973,079.48
  5. Step 5: Solve for x
    x = 817,973,079.48/30,415.64
  6. Step 6: Final answer
    x = 26,893.18

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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.