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Finding the Fourth Proportional to 71,786, 107,683.32 and 22,538

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Solution

The fourth proportional to 71,786, 107,683.32 and 22,538 is: 33,808.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,786 : 107,683.32 = 22,538 : x
  2. Step 2: Convert to fraction form
    71,786/107,683.32 = 22,538/x
  3. Step 3: Cross multiply
    71,786x = 107,683.32 × 22,538
  4. Step 4: Simplify right side
    71,786x = 2,426,966,666.16
  5. Step 5: Solve for x
    x = 2,426,966,666.16/71,786
  6. Step 6: Final answer
    x = 33,808.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.