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Finding the Fourth Proportional to 47,718.86, 65,848.65 and 29,817.14

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Solution

The fourth proportional to 47,718.86, 65,848.65 and 29,817.14 is: 41,145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,718.86 : 65,848.65 = 29,817.14 : x
  2. Step 2: Convert to fraction form
    47,718.86/65,848.65 = 29,817.14/x
  3. Step 3: Cross multiply
    47,718.86x = 65,848.65 × 29,817.14
  4. Step 4: Simplify right side
    47,718.86x = 1,963,418,415.86
  5. Step 5: Solve for x
    x = 1,963,418,415.86/47,718.86
  6. Step 6: Final answer
    x = 41,145.54

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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.