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Finding the Fourth Proportional to 105,116.80, 157,670.76 and 48,937.60

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Solution

The fourth proportional to 105,116.80, 157,670.76 and 48,937.60 is: 73,404.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,116.80 : 157,670.76 = 48,937.60 : x
  2. Step 2: Convert to fraction form
    105,116.80/157,670.76 = 48,937.60/x
  3. Step 3: Cross multiply
    105,116.80x = 157,670.76 × 48,937.60
  4. Step 4: Simplify right side
    105,116.80x = 7,716,028,584.58
  5. Step 5: Solve for x
    x = 7,716,028,584.58/105,116.80
  6. Step 6: Final answer
    x = 73,404.33

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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.