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Finding the Fourth Proportional to 30,819.60, 46,232.64 and 10,038.24

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Solution

The fourth proportional to 30,819.60, 46,232.64 and 10,038.24 is: 15,058.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,819.60 : 46,232.64 = 10,038.24 : x
  2. Step 2: Convert to fraction form
    30,819.60/46,232.64 = 10,038.24/x
  3. Step 3: Cross multiply
    30,819.60x = 46,232.64 × 10,038.24
  4. Step 4: Simplify right side
    30,819.60x = 464,094,336.15
  5. Step 5: Solve for x
    x = 464,094,336.15/30,819.60
  6. Step 6: Final answer
    x = 15,058.42

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