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Finding the Fourth Proportional to 52,029, 78,056.46 and 15,093

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Solution

The fourth proportional to 52,029, 78,056.46 and 15,093 is: 22,643.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,029 : 78,056.46 = 15,093 : x
  2. Step 2: Convert to fraction form
    52,029/78,056.46 = 15,093/x
  3. Step 3: Cross multiply
    52,029x = 78,056.46 × 15,093
  4. Step 4: Simplify right side
    52,029x = 1,178,106,150.78
  5. Step 5: Solve for x
    x = 1,178,106,150.78/52,029
  6. Step 6: Final answer
    x = 22,643.26

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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.