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Finding the Fourth Proportional to 82,880.87, 114,389.31 and 48,897.66

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Solution

The fourth proportional to 82,880.87, 114,389.31 and 48,897.66 is: 67,486.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,880.87 : 114,389.31 = 48,897.66 : x
  2. Step 2: Convert to fraction form
    82,880.87/114,389.31 = 48,897.66/x
  3. Step 3: Cross multiply
    82,880.87x = 114,389.31 × 48,897.66
  4. Step 4: Simplify right side
    82,880.87x = 5,593,369,588.01
  5. Step 5: Solve for x
    x = 5,593,369,588.01/82,880.87
  6. Step 6: Final answer
    x = 67,486.86

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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.