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Finding the Fourth Proportional to 52,094, 78,153.96 and 15,158

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Solution

The fourth proportional to 52,094, 78,153.96 and 15,158 is: 22,740.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,094 : 78,153.96 = 15,158 : x
  2. Step 2: Convert to fraction form
    52,094/78,153.96 = 15,158/x
  3. Step 3: Cross multiply
    52,094x = 78,153.96 × 15,158
  4. Step 4: Simplify right side
    52,094x = 1,184,657,725.68
  5. Step 5: Solve for x
    x = 1,184,657,725.68/52,094
  6. Step 6: Final answer
    x = 22,740.77

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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.