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Finding the Fourth Proportional to 165,352, 248,028 and 48,616

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Solution

The fourth proportional to 165,352, 248,028 and 48,616 is: 72,924

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,352 : 248,028 = 48,616 : x
  2. Step 2: Convert to fraction form
    165,352/248,028 = 48,616/x
  3. Step 3: Cross multiply
    165,352x = 248,028 × 48,616
  4. Step 4: Simplify right side
    165,352x = 12,058,129,248
  5. Step 5: Solve for x
    x = 12,058,129,248/165,352
  6. Step 6: Final answer
    x = 72,924

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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.