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Finding the Fourth Proportional to 106,432.79, 159,696.33 and 56,500.84

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Solution

The fourth proportional to 106,432.79, 159,696.33 and 56,500.84 is: 84,776.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,432.79 : 159,696.33 = 56,500.84 : x
  2. Step 2: Convert to fraction form
    106,432.79/159,696.33 = 56,500.84/x
  3. Step 3: Cross multiply
    106,432.79x = 159,696.33 × 56,500.84
  4. Step 4: Simplify right side
    106,432.79x = 9,022,977,254.39
  5. Step 5: Solve for x
    x = 9,022,977,254.39/106,432.79
  6. Step 6: Final answer
    x = 84,776.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.