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Finding the Fourth Proportional to 30,097.63, 45,155.36 and 10,378.18

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Solution

The fourth proportional to 30,097.63, 45,155.36 and 10,378.18 is: 15,570.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,097.63 : 45,155.36 = 10,378.18 : x
  2. Step 2: Convert to fraction form
    30,097.63/45,155.36 = 10,378.18/x
  3. Step 3: Cross multiply
    30,097.63x = 45,155.36 × 10,378.18
  4. Step 4: Simplify right side
    30,097.63x = 468,630,454.04
  5. Step 5: Solve for x
    x = 468,630,454.04/30,097.63
  6. Step 6: Final answer
    x = 15,570.34

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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.