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Finding the Fourth Proportional to 123,803.32, 185,712.90 and 35,063.86

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Solution

The fourth proportional to 123,803.32, 185,712.90 and 35,063.86 is: 52,598.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,803.32 : 185,712.90 = 35,063.86 : x
  2. Step 2: Convert to fraction form
    123,803.32/185,712.90 = 35,063.86/x
  3. Step 3: Cross multiply
    123,803.32x = 185,712.90 × 35,063.86
  4. Step 4: Simplify right side
    123,803.32x = 6,511,811,125.79
  5. Step 5: Solve for x
    x = 6,511,811,125.79/123,803.32
  6. Step 6: Final answer
    x = 52,598.03

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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.