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Finding the Fourth Proportional to 84,793.72, 117,009.48 and 47,065

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Solution

The fourth proportional to 84,793.72, 117,009.48 and 47,065 is: 64,946.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,793.72 : 117,009.48 = 47,065 : x
  2. Step 2: Convert to fraction form
    84,793.72/117,009.48 = 47,065/x
  3. Step 3: Cross multiply
    84,793.72x = 117,009.48 × 47,065
  4. Step 4: Simplify right side
    84,793.72x = 5,507,051,176.20
  5. Step 5: Solve for x
    x = 5,507,051,176.20/84,793.72
  6. Step 6: Final answer
    x = 64,946.45

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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.