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Finding the Fourth Proportional to 52,522.94, 78,784.42 and 17,462.90

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Solution

The fourth proportional to 52,522.94, 78,784.42 and 17,462.90 is: 26,194.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,522.94 : 78,784.42 = 17,462.90 : x
  2. Step 2: Convert to fraction form
    52,522.94/78,784.42 = 17,462.90/x
  3. Step 3: Cross multiply
    52,522.94x = 78,784.42 × 17,462.90
  4. Step 4: Simplify right side
    52,522.94x = 1,375,804,448.02
  5. Step 5: Solve for x
    x = 1,375,804,448.02/52,522.94
  6. Step 6: Final answer
    x = 26,194.35

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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.