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Finding the Fourth Proportional to 32,125.61, 48,187.92 and 8,751.98

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Solution

The fourth proportional to 32,125.61, 48,187.92 and 8,751.98 is: 13,127.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,125.61 : 48,187.92 = 8,751.98 : x
  2. Step 2: Convert to fraction form
    32,125.61/48,187.92 = 8,751.98/x
  3. Step 3: Cross multiply
    32,125.61x = 48,187.92 × 8,751.98
  4. Step 4: Simplify right side
    32,125.61x = 421,739,712.08
  5. Step 5: Solve for x
    x = 421,739,712.08/32,125.61
  6. Step 6: Final answer
    x = 13,127.84

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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.