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Finding the Fourth Proportional to 84,569.63, 116,706.08 and 51,035.63

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Solution

The fourth proportional to 84,569.63, 116,706.08 and 51,035.63 is: 70,429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,569.63 : 116,706.08 = 51,035.63 : x
  2. Step 2: Convert to fraction form
    84,569.63/116,706.08 = 51,035.63/x
  3. Step 3: Cross multiply
    84,569.63x = 116,706.08 × 51,035.63
  4. Step 4: Simplify right side
    84,569.63x = 5,956,167,861.69
  5. Step 5: Solve for x
    x = 5,956,167,861.69/84,569.63
  6. Step 6: Final answer
    x = 70,429.16

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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.