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Finding the Fourth Proportional to 84,709.87, 116,897.88 and 52,435.96

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Solution

The fourth proportional to 84,709.87, 116,897.88 and 52,435.96 is: 72,360.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,709.87 : 116,897.88 = 52,435.96 : x
  2. Step 2: Convert to fraction form
    84,709.87/116,897.88 = 52,435.96/x
  3. Step 3: Cross multiply
    84,709.87x = 116,897.88 × 52,435.96
  4. Step 4: Simplify right side
    84,709.87x = 6,129,652,559.76
  5. Step 5: Solve for x
    x = 6,129,652,559.76/84,709.87
  6. Step 6: Final answer
    x = 72,360.55

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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.