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Finding the Fourth Proportional to 105,379.72, 145,423.02 and 57,632.56

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Solution

The fourth proportional to 105,379.72, 145,423.02 and 57,632.56 is: 79,532.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,379.72 : 145,423.02 = 57,632.56 : x
  2. Step 2: Convert to fraction form
    105,379.72/145,423.02 = 57,632.56/x
  3. Step 3: Cross multiply
    105,379.72x = 145,423.02 × 57,632.56
  4. Step 4: Simplify right side
    105,379.72x = 8,381,100,925.53
  5. Step 5: Solve for x
    x = 8,381,100,925.53/105,379.72
  6. Step 6: Final answer
    x = 79,532.39

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Why These Related Problems?

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