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Finding the Fourth Proportional to 82,607.04, 113,994 and 46,796.32

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Solution

The fourth proportional to 82,607.04, 113,994 and 46,796.32 is: 64,576.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,607.04 : 113,994 = 46,796.32 : x
  2. Step 2: Convert to fraction form
    82,607.04/113,994 = 46,796.32/x
  3. Step 3: Cross multiply
    82,607.04x = 113,994 × 46,796.32
  4. Step 4: Simplify right side
    82,607.04x = 5,334,499,702.08
  5. Step 5: Solve for x
    x = 5,334,499,702.08/82,607.04
  6. Step 6: Final answer
    x = 64,576.82

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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.