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Finding the Fourth Proportional to 76,828.84, 106,014.18 and 42,829

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Solution

The fourth proportional to 76,828.84, 106,014.18 and 42,829 is: 59,098.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,828.84 : 106,014.18 = 42,829 : x
  2. Step 2: Convert to fraction form
    76,828.84/106,014.18 = 42,829/x
  3. Step 3: Cross multiply
    76,828.84x = 106,014.18 × 42,829
  4. Step 4: Simplify right side
    76,828.84x = 4,540,481,315.22
  5. Step 5: Solve for x
    x = 4,540,481,315.22/76,828.84
  6. Step 6: Final answer
    x = 59,098.66

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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.