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Finding the Fourth Proportional to 67,796, 93,558.48 and 41,300

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Solution

The fourth proportional to 67,796, 93,558.48 and 41,300 is: 56,994

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,796 : 93,558.48 = 41,300 : x
  2. Step 2: Convert to fraction form
    67,796/93,558.48 = 41,300/x
  3. Step 3: Cross multiply
    67,796x = 93,558.48 × 41,300
  4. Step 4: Simplify right side
    67,796x = 3,863,965,224
  5. Step 5: Solve for x
    x = 3,863,965,224/67,796
  6. Step 6: Final answer
    x = 56,994

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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.