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Finding the Fourth Proportional to 52,233, 78,349.33 and 18,953.02

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Solution

The fourth proportional to 52,233, 78,349.33 and 18,953.02 is: 28,429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,233 : 78,349.33 = 18,953.02 : x
  2. Step 2: Convert to fraction form
    52,233/78,349.33 = 18,953.02/x
  3. Step 3: Cross multiply
    52,233x = 78,349.33 × 18,953.02
  4. Step 4: Simplify right side
    52,233x = 1,484,956,418.48
  5. Step 5: Solve for x
    x = 1,484,956,418.48/52,233
  6. Step 6: Final answer
    x = 28,429.47

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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.