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Finding the Fourth Proportional to 137,048, 205,572 and 38,552

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Solution

The fourth proportional to 137,048, 205,572 and 38,552 is: 57,828

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,048 : 205,572 = 38,552 : x
  2. Step 2: Convert to fraction form
    137,048/205,572 = 38,552/x
  3. Step 3: Cross multiply
    137,048x = 205,572 × 38,552
  4. Step 4: Simplify right side
    137,048x = 7,925,211,744
  5. Step 5: Solve for x
    x = 7,925,211,744/137,048
  6. Step 6: Final answer
    x = 57,828

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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.