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Finding the Fourth Proportional to 46,009.60, 69,014.40 and 16,441.60

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Solution

The fourth proportional to 46,009.60, 69,014.40 and 16,441.60 is: 24,662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,009.60 : 69,014.40 = 16,441.60 : x
  2. Step 2: Convert to fraction form
    46,009.60/69,014.40 = 16,441.60/x
  3. Step 3: Cross multiply
    46,009.60x = 69,014.40 × 16,441.60
  4. Step 4: Simplify right side
    46,009.60x = 1,134,707,159.04
  5. Step 5: Solve for x
    x = 1,134,707,159.04/46,009.60
  6. Step 6: Final answer
    x = 24,662.40

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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.