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Finding the Fourth Proportional to 51,851, 71,554.38 and 29,495

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Solution

The fourth proportional to 51,851, 71,554.38 and 29,495 is: 40,703.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,851 : 71,554.38 = 29,495 : x
  2. Step 2: Convert to fraction form
    51,851/71,554.38 = 29,495/x
  3. Step 3: Cross multiply
    51,851x = 71,554.38 × 29,495
  4. Step 4: Simplify right side
    51,851x = 2,110,496,438.10
  5. Step 5: Solve for x
    x = 2,110,496,438.10/51,851
  6. Step 6: Final answer
    x = 40,703.10

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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.