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Finding the Fourth Proportional to 76,200, 105,156 and 42,666.72

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Solution

The fourth proportional to 76,200, 105,156 and 42,666.72 is: 58,880.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,200 : 105,156 = 42,666.72 : x
  2. Step 2: Convert to fraction form
    76,200/105,156 = 42,666.72/x
  3. Step 3: Cross multiply
    76,200x = 105,156 × 42,666.72
  4. Step 4: Simplify right side
    76,200x = 4,486,661,608.32
  5. Step 5: Solve for x
    x = 4,486,661,608.32/76,200
  6. Step 6: Final answer
    x = 58,880.07

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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.