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Finding the Fourth Proportional to 76,492.54, 105,559.36 and 42,506.56

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Solution

The fourth proportional to 76,492.54, 105,559.36 and 42,506.56 is: 58,658.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,492.54 : 105,559.36 = 42,506.56 : x
  2. Step 2: Convert to fraction form
    76,492.54/105,559.36 = 42,506.56/x
  3. Step 3: Cross multiply
    76,492.54x = 105,559.36 × 42,506.56
  4. Step 4: Simplify right side
    76,492.54x = 4,486,965,269.40
  5. Step 5: Solve for x
    x = 4,486,965,269.40/76,492.54
  6. Step 6: Final answer
    x = 58,658.86

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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.