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Finding the Fourth Proportional to 38,897.01, 53,678.09 and 22,130.01

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Solution

The fourth proportional to 38,897.01, 53,678.09 and 22,130.01 is: 30,539.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,897.01 : 53,678.09 = 22,130.01 : x
  2. Step 2: Convert to fraction form
    38,897.01/53,678.09 = 22,130.01/x
  3. Step 3: Cross multiply
    38,897.01x = 53,678.09 × 22,130.01
  4. Step 4: Simplify right side
    38,897.01x = 1,187,896,723.81
  5. Step 5: Solve for x
    x = 1,187,896,723.81/38,897.01
  6. Step 6: Final answer
    x = 30,539.54

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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.