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Finding the Fourth Proportional to 82,129.80, 113,332.34 and 46,328.61

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Solution

The fourth proportional to 82,129.80, 113,332.34 and 46,328.61 is: 63,929.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,129.80 : 113,332.34 = 46,328.61 : x
  2. Step 2: Convert to fraction form
    82,129.80/113,332.34 = 46,328.61/x
  3. Step 3: Cross multiply
    82,129.80x = 113,332.34 × 46,328.61
  4. Step 4: Simplify right side
    82,129.80x = 5,250,529,548.60
  5. Step 5: Solve for x
    x = 5,250,529,548.60/82,129.80
  6. Step 6: Final answer
    x = 63,929.65

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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.