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Finding the Fourth Proportional to 46,853.64, 70,309.62 and 20,580.48

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Solution

The fourth proportional to 46,853.64, 70,309.62 and 20,580.48 is: 30,883.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,853.64 : 70,309.62 = 20,580.48 : x
  2. Step 2: Convert to fraction form
    46,853.64/70,309.62 = 20,580.48/x
  3. Step 3: Cross multiply
    46,853.64x = 70,309.62 × 20,580.48
  4. Step 4: Simplify right side
    46,853.64x = 1,447,005,728.22
  5. Step 5: Solve for x
    x = 1,447,005,728.22/46,853.64
  6. Step 6: Final answer
    x = 30,883.53

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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.