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Finding the Fourth Proportional to 30,156.50, 45,235.04 and 11,431.50

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Solution

The fourth proportional to 30,156.50, 45,235.04 and 11,431.50 is: 17,147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,156.50 : 45,235.04 = 11,431.50 : x
  2. Step 2: Convert to fraction form
    30,156.50/45,235.04 = 11,431.50/x
  3. Step 3: Cross multiply
    30,156.50x = 45,235.04 × 11,431.50
  4. Step 4: Simplify right side
    30,156.50x = 517,104,302.60
  5. Step 5: Solve for x
    x = 517,104,302.60/30,156.50
  6. Step 6: Final answer
    x = 17,147.36

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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.