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Finding the Fourth Proportional to 76,461.88, 105,517.39 and 42,927.88

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Solution

The fourth proportional to 76,461.88, 105,517.39 and 42,927.88 is: 59,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,461.88 : 105,517.39 = 42,927.88 : x
  2. Step 2: Convert to fraction form
    76,461.88/105,517.39 = 42,927.88/x
  3. Step 3: Cross multiply
    76,461.88x = 105,517.39 × 42,927.88
  4. Step 4: Simplify right side
    76,461.88x = 4,529,637,328.25
  5. Step 5: Solve for x
    x = 4,529,637,328.25/76,461.88
  6. Step 6: Final answer
    x = 59,240.47

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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.