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Finding the Fourth Proportional to 52,235.85, 72,084.34 and 28,362.32

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Solution

The fourth proportional to 52,235.85, 72,084.34 and 28,362.32 is: 39,139.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,235.85 : 72,084.34 = 28,362.32 : x
  2. Step 2: Convert to fraction form
    52,235.85/72,084.34 = 28,362.32/x
  3. Step 3: Cross multiply
    52,235.85x = 72,084.34 × 28,362.32
  4. Step 4: Simplify right side
    52,235.85x = 2,044,479,118.07
  5. Step 5: Solve for x
    x = 2,044,479,118.07/52,235.85
  6. Step 6: Final answer
    x = 39,139.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.