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Finding the Fourth Proportional to 52,052.61, 78,031.06 and 18,764.55

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Solution

The fourth proportional to 52,052.61, 78,031.06 and 18,764.55 is: 28,129.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,052.61 : 78,031.06 = 18,764.55 : x
  2. Step 2: Convert to fraction form
    52,052.61/78,031.06 = 18,764.55/x
  3. Step 3: Cross multiply
    52,052.61x = 78,031.06 × 18,764.55
  4. Step 4: Simplify right side
    52,052.61x = 1,464,217,726.92
  5. Step 5: Solve for x
    x = 1,464,217,726.92/52,052.61
  6. Step 6: Final answer
    x = 28,129.57

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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.