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Finding the Fourth Proportional to 38,048.80, 52,398.48 and 27,421.60

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Solution

The fourth proportional to 38,048.80, 52,398.48 and 27,421.60 is: 37,763.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,048.80 : 52,398.48 = 27,421.60 : x
  2. Step 2: Convert to fraction form
    38,048.80/52,398.48 = 27,421.60/x
  3. Step 3: Cross multiply
    38,048.80x = 52,398.48 × 27,421.60
  4. Step 4: Simplify right side
    38,048.80x = 1,436,850,159.17
  5. Step 5: Solve for x
    x = 1,436,850,159.17/38,048.80
  6. Step 6: Final answer
    x = 37,763.35

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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.