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Finding the Fourth Proportional to 76,148.88, 105,133.08 and 48,936

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Solution

The fourth proportional to 76,148.88, 105,133.08 and 48,936 is: 67,562.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,148.88 : 105,133.08 = 48,936 : x
  2. Step 2: Convert to fraction form
    76,148.88/105,133.08 = 48,936/x
  3. Step 3: Cross multiply
    76,148.88x = 105,133.08 × 48,936
  4. Step 4: Simplify right side
    76,148.88x = 5,144,792,402.88
  5. Step 5: Solve for x
    x = 5,144,792,402.88/76,148.88
  6. Step 6: Final answer
    x = 67,562.29

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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.