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Finding the Fourth Proportional to 75,023, 103,424.88 and 51,119

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Solution

The fourth proportional to 75,023, 103,424.88 and 51,119 is: 70,471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,023 : 103,424.88 = 51,119 : x
  2. Step 2: Convert to fraction form
    75,023/103,424.88 = 51,119/x
  3. Step 3: Cross multiply
    75,023x = 103,424.88 × 51,119
  4. Step 4: Simplify right side
    75,023x = 5,286,976,440.72
  5. Step 5: Solve for x
    x = 5,286,976,440.72/75,023
  6. Step 6: Final answer
    x = 70,471.41

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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.