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Finding the Fourth Proportional to 82,663.53, 114,076.13 and 48,673.50

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Solution

The fourth proportional to 82,663.53, 114,076.13 and 48,673.50 is: 67,169.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,663.53 : 114,076.13 = 48,673.50 : x
  2. Step 2: Convert to fraction form
    82,663.53/114,076.13 = 48,673.50/x
  3. Step 3: Cross multiply
    82,663.53x = 114,076.13 × 48,673.50
  4. Step 4: Simplify right side
    82,663.53x = 5,552,484,270.19
  5. Step 5: Solve for x
    x = 5,552,484,270.19/82,663.53
  6. Step 6: Final answer
    x = 67,169.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.