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Finding the Fourth Proportional to 30,822.60, 46,237.14 and 10,041.24

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Solution

The fourth proportional to 30,822.60, 46,237.14 and 10,041.24 is: 15,062.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,822.60 : 46,237.14 = 10,041.24 : x
  2. Step 2: Convert to fraction form
    30,822.60/46,237.14 = 10,041.24/x
  3. Step 3: Cross multiply
    30,822.60x = 46,237.14 × 10,041.24
  4. Step 4: Simplify right side
    30,822.60x = 464,278,219.65
  5. Step 5: Solve for x
    x = 464,278,219.65/30,822.60
  6. Step 6: Final answer
    x = 15,062.92

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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.