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Finding the Fourth Proportional to 105,477.29, 145,553.05 and 57,721.41

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Solution

The fourth proportional to 105,477.29, 145,553.05 and 57,721.41 is: 79,652.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,477.29 : 145,553.05 = 57,721.41 : x
  2. Step 2: Convert to fraction form
    105,477.29/145,553.05 = 57,721.41/x
  3. Step 3: Cross multiply
    105,477.29x = 145,553.05 × 57,721.41
  4. Step 4: Simplify right side
    105,477.29x = 8,401,527,347.95
  5. Step 5: Solve for x
    x = 8,401,527,347.95/105,477.29
  6. Step 6: Final answer
    x = 79,652.48

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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.