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Finding the Fourth Proportional to 92,157.64, 138,154.14 and 35,984.68

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Solution

The fourth proportional to 92,157.64, 138,154.14 and 35,984.68 is: 53,944.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,157.64 : 138,154.14 = 35,984.68 : x
  2. Step 2: Convert to fraction form
    92,157.64/138,154.14 = 35,984.68/x
  3. Step 3: Cross multiply
    92,157.64x = 138,154.14 × 35,984.68
  4. Step 4: Simplify right side
    92,157.64x = 4,971,432,518.58
  5. Step 5: Solve for x
    x = 4,971,432,518.58/92,157.64
  6. Step 6: Final answer
    x = 53,944.88

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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.