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Finding the Fourth Proportional to 30,648.33, 45,959.54 and 9,582.73

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Solution

The fourth proportional to 30,648.33, 45,959.54 and 9,582.73 is: 14,370.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,648.33 : 45,959.54 = 9,582.73 : x
  2. Step 2: Convert to fraction form
    30,648.33/45,959.54 = 9,582.73/x
  3. Step 3: Cross multiply
    30,648.33x = 45,959.54 × 9,582.73
  4. Step 4: Simplify right side
    30,648.33x = 440,417,699.93
  5. Step 5: Solve for x
    x = 440,417,699.93/30,648.33
  6. Step 6: Final answer
    x = 14,370.04

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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.