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Finding the Fourth Proportional to 75,276, 112,914 and 26,028

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Solution

The fourth proportional to 75,276, 112,914 and 26,028 is: 39,042

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,276 : 112,914 = 26,028 : x
  2. Step 2: Convert to fraction form
    75,276/112,914 = 26,028/x
  3. Step 3: Cross multiply
    75,276x = 112,914 × 26,028
  4. Step 4: Simplify right side
    75,276x = 2,938,925,592
  5. Step 5: Solve for x
    x = 2,938,925,592/75,276
  6. Step 6: Final answer
    x = 39,042

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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.