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Finding the Fourth Proportional to 77,825.60, 116,695.20 and 31,025.60

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Solution

The fourth proportional to 77,825.60, 116,695.20 and 31,025.60 is: 46,521.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,825.60 : 116,695.20 = 31,025.60 : x
  2. Step 2: Convert to fraction form
    77,825.60/116,695.20 = 31,025.60/x
  3. Step 3: Cross multiply
    77,825.60x = 116,695.20 × 31,025.60
  4. Step 4: Simplify right side
    77,825.60x = 3,620,538,597.12
  5. Step 5: Solve for x
    x = 3,620,538,597.12/77,825.60
  6. Step 6: Final answer
    x = 46,521.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.