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Finding the Fourth Proportional to 105,049.34, 157,574.01 and 38,462.48

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Solution

The fourth proportional to 105,049.34, 157,574.01 and 38,462.48 is: 57,693.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,049.34 : 157,574.01 = 38,462.48 : x
  2. Step 2: Convert to fraction form
    105,049.34/157,574.01 = 38,462.48/x
  3. Step 3: Cross multiply
    105,049.34x = 157,574.01 × 38,462.48
  4. Step 4: Simplify right side
    105,049.34x = 6,060,687,208.14
  5. Step 5: Solve for x
    x = 6,060,687,208.14/105,049.34
  6. Step 6: Final answer
    x = 57,693.72

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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.