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Finding the Fourth Proportional to 30,015.60, 45,023.40 and 7,828.92

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Solution

The fourth proportional to 30,015.60, 45,023.40 and 7,828.92 is: 11,743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,015.60 : 45,023.40 = 7,828.92 : x
  2. Step 2: Convert to fraction form
    30,015.60/45,023.40 = 7,828.92/x
  3. Step 3: Cross multiply
    30,015.60x = 45,023.40 × 7,828.92
  4. Step 4: Simplify right side
    30,015.60x = 352,484,596.73
  5. Step 5: Solve for x
    x = 352,484,596.73/30,015.60
  6. Step 6: Final answer
    x = 11,743.38

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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.