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Finding the Fourth Proportional to 30,382.14, 45,602.40 and 14,810.70

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Solution

The fourth proportional to 30,382.14, 45,602.40 and 14,810.70 is: 22,230.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,382.14 : 45,602.40 = 14,810.70 : x
  2. Step 2: Convert to fraction form
    30,382.14/45,602.40 = 14,810.70/x
  3. Step 3: Cross multiply
    30,382.14x = 45,602.40 × 14,810.70
  4. Step 4: Simplify right side
    30,382.14x = 675,403,465.68
  5. Step 5: Solve for x
    x = 675,403,465.68/30,382.14
  6. Step 6: Final answer
    x = 22,230.28

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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.