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Finding the Fourth Proportional to 105,737.49, 145,921.95 and 57,992.58

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Solution

The fourth proportional to 105,737.49, 145,921.95 and 57,992.58 is: 80,032.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,737.49 : 145,921.95 = 57,992.58 : x
  2. Step 2: Convert to fraction form
    105,737.49/145,921.95 = 57,992.58/x
  3. Step 3: Cross multiply
    105,737.49x = 145,921.95 × 57,992.58
  4. Step 4: Simplify right side
    105,737.49x = 8,462,390,359.13
  5. Step 5: Solve for x
    x = 8,462,390,359.13/105,737.49
  6. Step 6: Final answer
    x = 80,032.07

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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.