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Finding the Fourth Proportional to 75,762.77, 104,597.42 and 67,356

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Solution

The fourth proportional to 75,762.77, 104,597.42 and 67,356 is: 92,991.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,762.77 : 104,597.42 = 67,356 : x
  2. Step 2: Convert to fraction form
    75,762.77/104,597.42 = 67,356/x
  3. Step 3: Cross multiply
    75,762.77x = 104,597.42 × 67,356
  4. Step 4: Simplify right side
    75,762.77x = 7,045,263,484.74
  5. Step 5: Solve for x
    x = 7,045,263,484.74/75,762.77
  6. Step 6: Final answer
    x = 92,991.11

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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.