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Finding the Fourth Proportional to 52,530.30, 78,783.30 and 17,460.54

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Solution

The fourth proportional to 52,530.30, 78,783.30 and 17,460.54 is: 26,186.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,530.30 : 78,783.30 = 17,460.54 : x
  2. Step 2: Convert to fraction form
    52,530.30/78,783.30 = 17,460.54/x
  3. Step 3: Cross multiply
    52,530.30x = 78,783.30 × 17,460.54
  4. Step 4: Simplify right side
    52,530.30x = 1,375,598,960.98
  5. Step 5: Solve for x
    x = 1,375,598,960.98/52,530.30
  6. Step 6: Final answer
    x = 26,186.77

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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.