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Finding the Fourth Proportional to 27,202, 37,538.76 and 16,030.80

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Solution

The fourth proportional to 27,202, 37,538.76 and 16,030.80 is: 22,122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,202 : 37,538.76 = 16,030.80 : x
  2. Step 2: Convert to fraction form
    27,202/37,538.76 = 16,030.80/x
  3. Step 3: Cross multiply
    27,202x = 37,538.76 × 16,030.80
  4. Step 4: Simplify right side
    27,202x = 601,776,353.81
  5. Step 5: Solve for x
    x = 601,776,353.81/27,202
  6. Step 6: Final answer
    x = 22,122.50

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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.