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Finding the Fourth Proportional to 64,565.84, 96,858 and 31,258.56

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Solution

The fourth proportional to 64,565.84, 96,858 and 31,258.56 is: 46,892.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,565.84 : 96,858 = 31,258.56 : x
  2. Step 2: Convert to fraction form
    64,565.84/96,858 = 31,258.56/x
  3. Step 3: Cross multiply
    64,565.84x = 96,858 × 31,258.56
  4. Step 4: Simplify right side
    64,565.84x = 3,027,641,604.48
  5. Step 5: Solve for x
    x = 3,027,641,604.48/64,565.84
  6. Step 6: Final answer
    x = 46,892.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.