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Finding the Fourth Proportional to 38,738, 53,465 and 21,980.72

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Solution

The fourth proportional to 38,738, 53,465 and 21,980.72 is: 30,337.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,738 : 53,465 = 21,980.72 : x
  2. Step 2: Convert to fraction form
    38,738/53,465 = 21,980.72/x
  3. Step 3: Cross multiply
    38,738x = 53,465 × 21,980.72
  4. Step 4: Simplify right side
    38,738x = 1,175,199,194.80
  5. Step 5: Solve for x
    x = 1,175,199,194.80/38,738
  6. Step 6: Final answer
    x = 30,337.12

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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.