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Finding the Fourth Proportional to 76,269, 105,251.25 and 46,461

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Solution

The fourth proportional to 76,269, 105,251.25 and 46,461 is: 64,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,269 : 105,251.25 = 46,461 : x
  2. Step 2: Convert to fraction form
    76,269/105,251.25 = 46,461/x
  3. Step 3: Cross multiply
    76,269x = 105,251.25 × 46,461
  4. Step 4: Simplify right side
    76,269x = 4,890,078,326.25
  5. Step 5: Solve for x
    x = 4,890,078,326.25/76,269
  6. Step 6: Final answer
    x = 64,116.20

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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.