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Finding the Fourth Proportional to 64,094.46, 88,449.87 and 35,416

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Solution

The fourth proportional to 64,094.46, 88,449.87 and 35,416 is: 48,873.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,094.46 : 88,449.87 = 35,416 : x
  2. Step 2: Convert to fraction form
    64,094.46/88,449.87 = 35,416/x
  3. Step 3: Cross multiply
    64,094.46x = 88,449.87 × 35,416
  4. Step 4: Simplify right side
    64,094.46x = 3,132,540,595.92
  5. Step 5: Solve for x
    x = 3,132,540,595.92/64,094.46
  6. Step 6: Final answer
    x = 48,873.81

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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.