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Finding the Fourth Proportional to 82,572.11, 113,945.71 and 46,762.38

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Solution

The fourth proportional to 82,572.11, 113,945.71 and 46,762.38 is: 64,529.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,572.11 : 113,945.71 = 46,762.38 : x
  2. Step 2: Convert to fraction form
    82,572.11/113,945.71 = 46,762.38/x
  3. Step 3: Cross multiply
    82,572.11x = 113,945.71 × 46,762.38
  4. Step 4: Simplify right side
    82,572.11x = 5,328,372,900.78
  5. Step 5: Solve for x
    x = 5,328,372,900.78/82,572.11
  6. Step 6: Final answer
    x = 64,529.93

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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.