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Finding the Fourth Proportional to 30,704.67, 42,372.63 and 17,275.77

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Solution

The fourth proportional to 30,704.67, 42,372.63 and 17,275.77 is: 23,840.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,704.67 : 42,372.63 = 17,275.77 : x
  2. Step 2: Convert to fraction form
    30,704.67/42,372.63 = 17,275.77/x
  3. Step 3: Cross multiply
    30,704.67x = 42,372.63 × 17,275.77
  4. Step 4: Simplify right side
    30,704.67x = 732,019,810.18
  5. Step 5: Solve for x
    x = 732,019,810.18/30,704.67
  6. Step 6: Final answer
    x = 23,840.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.