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Finding the Fourth Proportional to 59,639.19, 82,303.59 and 32,782.38

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Solution

The fourth proportional to 59,639.19, 82,303.59 and 32,782.38 is: 45,240.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,639.19 : 82,303.59 = 32,782.38 : x
  2. Step 2: Convert to fraction form
    59,639.19/82,303.59 = 32,782.38/x
  3. Step 3: Cross multiply
    59,639.19x = 82,303.59 × 32,782.38
  4. Step 4: Simplify right side
    59,639.19x = 2,698,107,562.74
  5. Step 5: Solve for x
    x = 2,698,107,562.74/59,639.19
  6. Step 6: Final answer
    x = 45,240.51

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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.