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Finding the Fourth Proportional to 30,523.74, 42,127.02 and 22,053.26

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Solution

The fourth proportional to 30,523.74, 42,127.02 and 22,053.26 is: 30,436.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,523.74 : 42,127.02 = 22,053.26 : x
  2. Step 2: Convert to fraction form
    30,523.74/42,127.02 = 22,053.26/x
  3. Step 3: Cross multiply
    30,523.74x = 42,127.02 × 22,053.26
  4. Step 4: Simplify right side
    30,523.74x = 929,038,125.09
  5. Step 5: Solve for x
    x = 929,038,125.09/30,523.74
  6. Step 6: Final answer
    x = 30,436.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.