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Finding the Fourth Proportional to 30,588.93, 45,883.35 and 8,402.40

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Solution

The fourth proportional to 30,588.93, 45,883.35 and 8,402.40 is: 12,603.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,588.93 : 45,883.35 = 8,402.40 : x
  2. Step 2: Convert to fraction form
    30,588.93/45,883.35 = 8,402.40/x
  3. Step 3: Cross multiply
    30,588.93x = 45,883.35 × 8,402.40
  4. Step 4: Simplify right side
    30,588.93x = 385,530,260.04
  5. Step 5: Solve for x
    x = 385,530,260.04/30,588.93
  6. Step 6: Final answer
    x = 12,603.59

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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.