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Finding the Fourth Proportional to 75,527.58, 104,233.16 and 49,989.95

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Solution

The fourth proportional to 75,527.58, 104,233.16 and 49,989.95 is: 68,989.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,527.58 : 104,233.16 = 49,989.95 : x
  2. Step 2: Convert to fraction form
    75,527.58/104,233.16 = 49,989.95/x
  3. Step 3: Cross multiply
    75,527.58x = 104,233.16 × 49,989.95
  4. Step 4: Simplify right side
    75,527.58x = 5,210,610,467.38
  5. Step 5: Solve for x
    x = 5,210,610,467.38/75,527.58
  6. Step 6: Final answer
    x = 68,989.51

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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.