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Finding the Fourth Proportional to 82,339.96, 113,628 and 46,529.32

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Solution

The fourth proportional to 82,339.96, 113,628 and 46,529.32 is: 64,209.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,339.96 : 113,628 = 46,529.32 : x
  2. Step 2: Convert to fraction form
    82,339.96/113,628 = 46,529.32/x
  3. Step 3: Cross multiply
    82,339.96x = 113,628 × 46,529.32
  4. Step 4: Simplify right side
    82,339.96x = 5,287,033,572.96
  5. Step 5: Solve for x
    x = 5,287,033,572.96/82,339.96
  6. Step 6: Final answer
    x = 64,209.81

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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.