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Finding the Fourth Proportional to 47,582.02, 65,694 and 30,593.89

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Solution

The fourth proportional to 47,582.02, 65,694 and 30,593.89 is: 42,239.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,582.02 : 65,694 = 30,593.89 : x
  2. Step 2: Convert to fraction form
    47,582.02/65,694 = 30,593.89/x
  3. Step 3: Cross multiply
    47,582.02x = 65,694 × 30,593.89
  4. Step 4: Simplify right side
    47,582.02x = 2,009,835,009.66
  5. Step 5: Solve for x
    x = 2,009,835,009.66/47,582.02
  6. Step 6: Final answer
    x = 42,239.38

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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.