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Finding the Fourth Proportional to 75,396, 113,145.84 and 26,148

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Solution

The fourth proportional to 75,396, 113,145.84 and 26,148 is: 39,239.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,396 : 113,145.84 = 26,148 : x
  2. Step 2: Convert to fraction form
    75,396/113,145.84 = 26,148/x
  3. Step 3: Cross multiply
    75,396x = 113,145.84 × 26,148
  4. Step 4: Simplify right side
    75,396x = 2,958,537,424.32
  5. Step 5: Solve for x
    x = 2,958,537,424.32/75,396
  6. Step 6: Final answer
    x = 39,239.98

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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.