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Finding the Fourth Proportional to 52,418.40, 78,647.04 and 24,352.08

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Solution

The fourth proportional to 52,418.40, 78,647.04 and 24,352.08 is: 36,537.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,418.40 : 78,647.04 = 24,352.08 : x
  2. Step 2: Convert to fraction form
    52,418.40/78,647.04 = 24,352.08/x
  3. Step 3: Cross multiply
    52,418.40x = 78,647.04 × 24,352.08
  4. Step 4: Simplify right side
    52,418.40x = 1,915,219,009.84
  5. Step 5: Solve for x
    x = 1,915,219,009.84/52,418.40
  6. Step 6: Final answer
    x = 36,537.15

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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.