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Finding the Fourth Proportional to 82,897.56, 114,400.53 and 48,914.37

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Solution

The fourth proportional to 82,897.56, 114,400.53 and 48,914.37 is: 67,502.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,897.56 : 114,400.53 = 48,914.37 : x
  2. Step 2: Convert to fraction form
    82,897.56/114,400.53 = 48,914.37/x
  3. Step 3: Cross multiply
    82,897.56x = 114,400.53 × 48,914.37
  4. Step 4: Simplify right side
    82,897.56x = 5,595,829,852.62
  5. Step 5: Solve for x
    x = 5,595,829,852.62/82,897.56
  6. Step 6: Final answer
    x = 67,502.95

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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.