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Finding the Fourth Proportional to 38,013.50, 52,460.25 and 21,246.50

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Solution

The fourth proportional to 38,013.50, 52,460.25 and 21,246.50 is: 29,321.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,013.50 : 52,460.25 = 21,246.50 : x
  2. Step 2: Convert to fraction form
    38,013.50/52,460.25 = 21,246.50/x
  3. Step 3: Cross multiply
    38,013.50x = 52,460.25 × 21,246.50
  4. Step 4: Simplify right side
    38,013.50x = 1,114,596,701.63
  5. Step 5: Solve for x
    x = 1,114,596,701.63/38,013.50
  6. Step 6: Final answer
    x = 29,321.08

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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.