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Finding the Fourth Proportional to 38,897.50, 53,678.82 and 22,130.50

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Solution

The fourth proportional to 38,897.50, 53,678.82 and 22,130.50 is: 30,540.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,897.50 : 53,678.82 = 22,130.50 : x
  2. Step 2: Convert to fraction form
    38,897.50/53,678.82 = 22,130.50/x
  3. Step 3: Cross multiply
    38,897.50x = 53,678.82 × 22,130.50
  4. Step 4: Simplify right side
    38,897.50x = 1,187,939,126.01
  5. Step 5: Solve for x
    x = 1,187,939,126.01/38,897.50
  6. Step 6: Final answer
    x = 30,540.24

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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.