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Finding the Fourth Proportional to 30,530.70, 45,801.45 and 10,820.70

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Solution

The fourth proportional to 30,530.70, 45,801.45 and 10,820.70 is: 16,232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,530.70 : 45,801.45 = 10,820.70 : x
  2. Step 2: Convert to fraction form
    30,530.70/45,801.45 = 10,820.70/x
  3. Step 3: Cross multiply
    30,530.70x = 45,801.45 × 10,820.70
  4. Step 4: Simplify right side
    30,530.70x = 495,603,750.02
  5. Step 5: Solve for x
    x = 495,603,750.02/30,530.70
  6. Step 6: Final answer
    x = 16,232.96

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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.