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Finding the Fourth Proportional to 30,970.34, 42,745.29 and 18,392.66

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Solution

The fourth proportional to 30,970.34, 42,745.29 and 18,392.66 is: 25,385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970.34 : 42,745.29 = 18,392.66 : x
  2. Step 2: Convert to fraction form
    30,970.34/42,745.29 = 18,392.66/x
  3. Step 3: Cross multiply
    30,970.34x = 42,745.29 × 18,392.66
  4. Step 4: Simplify right side
    30,970.34x = 786,199,585.57
  5. Step 5: Solve for x
    x = 786,199,585.57/30,970.34
  6. Step 6: Final answer
    x = 25,385.57

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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.