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Finding the Fourth Proportional to 32,235.80, 48,306.96 and 22,894.12

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Solution

The fourth proportional to 32,235.80, 48,306.96 and 22,894.12 is: 34,307.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,235.80 : 48,306.96 = 22,894.12 : x
  2. Step 2: Convert to fraction form
    32,235.80/48,306.96 = 22,894.12/x
  3. Step 3: Cross multiply
    32,235.80x = 48,306.96 × 22,894.12
  4. Step 4: Simplify right side
    32,235.80x = 1,105,945,339.08
  5. Step 5: Solve for x
    x = 1,105,945,339.08/32,235.80
  6. Step 6: Final answer
    x = 34,307.98

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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.