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Finding the Fourth Proportional to 81,873, 112,984.74 and 46,545

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Solution

The fourth proportional to 81,873, 112,984.74 and 46,545 is: 64,232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,873 : 112,984.74 = 46,545 : x
  2. Step 2: Convert to fraction form
    81,873/112,984.74 = 46,545/x
  3. Step 3: Cross multiply
    81,873x = 112,984.74 × 46,545
  4. Step 4: Simplify right side
    81,873x = 5,258,874,723.30
  5. Step 5: Solve for x
    x = 5,258,874,723.30/81,873
  6. Step 6: Final answer
    x = 64,232.10

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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.