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Finding the Fourth Proportional to 52,522.72, 78,795.80 and 19,242.08

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Solution

The fourth proportional to 52,522.72, 78,795.80 and 19,242.08 is: 28,867.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,522.72 : 78,795.80 = 19,242.08 : x
  2. Step 2: Convert to fraction form
    52,522.72/78,795.80 = 19,242.08/x
  3. Step 3: Cross multiply
    52,522.72x = 78,795.80 × 19,242.08
  4. Step 4: Simplify right side
    52,522.72x = 1,516,195,087.26
  5. Step 5: Solve for x
    x = 1,516,195,087.26/52,522.72
  6. Step 6: Final answer
    x = 28,867.41

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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.