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Finding the Fourth Proportional to 82,090.92, 113,278.66 and 46,289.72

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Solution

The fourth proportional to 82,090.92, 113,278.66 and 46,289.72 is: 63,875.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,090.92 : 113,278.66 = 46,289.72 : x
  2. Step 2: Convert to fraction form
    82,090.92/113,278.66 = 46,289.72/x
  3. Step 3: Cross multiply
    82,090.92x = 113,278.66 × 46,289.72
  4. Step 4: Simplify right side
    82,090.92x = 5,243,637,453.38
  5. Step 5: Solve for x
    x = 5,243,637,453.38/82,090.92
  6. Step 6: Final answer
    x = 63,875.97

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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.