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Finding the Fourth Proportional to 30,645.50, 45,970.61 and 8,458.70

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Solution

The fourth proportional to 30,645.50, 45,970.61 and 8,458.70 is: 12,688.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,645.50 : 45,970.61 = 8,458.70 : x
  2. Step 2: Convert to fraction form
    30,645.50/45,970.61 = 8,458.70/x
  3. Step 3: Cross multiply
    30,645.50x = 45,970.61 × 8,458.70
  4. Step 4: Simplify right side
    30,645.50x = 388,851,326.66
  5. Step 5: Solve for x
    x = 388,851,326.66/30,645.50
  6. Step 6: Final answer
    x = 12,688.69

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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.