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Finding the Fourth Proportional to 76,354, 105,380.04 and 46,563.28

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Solution

The fourth proportional to 76,354, 105,380.04 and 46,563.28 is: 64,264.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,354 : 105,380.04 = 46,563.28 : x
  2. Step 2: Convert to fraction form
    76,354/105,380.04 = 46,563.28/x
  3. Step 3: Cross multiply
    76,354x = 105,380.04 × 46,563.28
  4. Step 4: Simplify right side
    76,354x = 4,906,840,308.93
  5. Step 5: Solve for x
    x = 4,906,840,308.93/76,354
  6. Step 6: Final answer
    x = 64,264.35

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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.