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Finding the Fourth Proportional to 76,605.84, 114,877.32 and 29,238.18

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Solution

The fourth proportional to 76,605.84, 114,877.32 and 29,238.18 is: 43,845.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,605.84 : 114,877.32 = 29,238.18 : x
  2. Step 2: Convert to fraction form
    76,605.84/114,877.32 = 29,238.18/x
  3. Step 3: Cross multiply
    76,605.84x = 114,877.32 × 29,238.18
  4. Step 4: Simplify right side
    76,605.84x = 3,358,803,760.08
  5. Step 5: Solve for x
    x = 3,358,803,760.08/76,605.84
  6. Step 6: Final answer
    x = 43,845.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.