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Finding the Fourth Proportional to 84,065.40, 116,006.74 and 45,824.11

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Solution

The fourth proportional to 84,065.40, 116,006.74 and 45,824.11 is: 63,235.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,065.40 : 116,006.74 = 45,824.11 : x
  2. Step 2: Convert to fraction form
    84,065.40/116,006.74 = 45,824.11/x
  3. Step 3: Cross multiply
    84,065.40x = 116,006.74 × 45,824.11
  4. Step 4: Simplify right side
    84,065.40x = 5,315,905,209.92
  5. Step 5: Solve for x
    x = 5,315,905,209.92/84,065.40
  6. Step 6: Final answer
    x = 63,235.35

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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.