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Finding the Fourth Proportional to 47,670.98, 65,787.72 and 28,804.46

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Solution

The fourth proportional to 47,670.98, 65,787.72 and 28,804.46 is: 39,751.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,670.98 : 65,787.72 = 28,804.46 : x
  2. Step 2: Convert to fraction form
    47,670.98/65,787.72 = 28,804.46/x
  3. Step 3: Cross multiply
    47,670.98x = 65,787.72 × 28,804.46
  4. Step 4: Simplify right side
    47,670.98x = 1,894,979,749.23
  5. Step 5: Solve for x
    x = 1,894,979,749.23/47,670.98
  6. Step 6: Final answer
    x = 39,751.22

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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.