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Finding the Fourth Proportional to 75,783.90, 104,582.30 and 41,793.60

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Solution

The fourth proportional to 75,783.90, 104,582.30 and 41,793.60 is: 57,675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,783.90 : 104,582.30 = 41,793.60 : x
  2. Step 2: Convert to fraction form
    75,783.90/104,582.30 = 41,793.60/x
  3. Step 3: Cross multiply
    75,783.90x = 104,582.30 × 41,793.60
  4. Step 4: Simplify right side
    75,783.90x = 4,370,870,813.28
  5. Step 5: Solve for x
    x = 4,370,870,813.28/75,783.90
  6. Step 6: Final answer
    x = 57,675.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.