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Finding the Fourth Proportional to 47,608.86, 65,699.71 and 27,465.51

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Solution

The fourth proportional to 47,608.86, 65,699.71 and 27,465.51 is: 37,902.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,608.86 : 65,699.71 = 27,465.51 : x
  2. Step 2: Convert to fraction form
    47,608.86/65,699.71 = 27,465.51/x
  3. Step 3: Cross multiply
    47,608.86x = 65,699.71 × 27,465.51
  4. Step 4: Simplify right side
    47,608.86x = 1,804,476,042.00
  5. Step 5: Solve for x
    x = 1,804,476,042.00/47,608.86
  6. Step 6: Final answer
    x = 37,902.11

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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.