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Finding the Fourth Proportional to 97,154.60, 145,703.10 and 37,956.20

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Solution

The fourth proportional to 97,154.60, 145,703.10 and 37,956.20 is: 56,923.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,154.60 : 145,703.10 = 37,956.20 : x
  2. Step 2: Convert to fraction form
    97,154.60/145,703.10 = 37,956.20/x
  3. Step 3: Cross multiply
    97,154.60x = 145,703.10 × 37,956.20
  4. Step 4: Simplify right side
    97,154.60x = 5,530,336,004.22
  5. Step 5: Solve for x
    x = 5,530,336,004.22/97,154.60
  6. Step 6: Final answer
    x = 56,923.05

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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.