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Finding the Fourth Proportional to 82,830.53, 114,267.65 and 48,815.87

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Solution

The fourth proportional to 82,830.53, 114,267.65 and 48,815.87 is: 67,343.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,830.53 : 114,267.65 = 48,815.87 : x
  2. Step 2: Convert to fraction form
    82,830.53/114,267.65 = 48,815.87/x
  3. Step 3: Cross multiply
    82,830.53x = 114,267.65 × 48,815.87
  4. Step 4: Simplify right side
    82,830.53x = 5,578,073,932.19
  5. Step 5: Solve for x
    x = 5,578,073,932.19/82,830.53
  6. Step 6: Final answer
    x = 67,343.21

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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.