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Finding the Fourth Proportional to 70,305.80, 97,023.68 and 40,094.01

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Solution

The fourth proportional to 70,305.80, 97,023.68 and 40,094.01 is: 55,330.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,305.80 : 97,023.68 = 40,094.01 : x
  2. Step 2: Convert to fraction form
    70,305.80/97,023.68 = 40,094.01/x
  3. Step 3: Cross multiply
    70,305.80x = 97,023.68 × 40,094.01
  4. Step 4: Simplify right side
    70,305.80x = 3,890,068,195.69
  5. Step 5: Solve for x
    x = 3,890,068,195.69/70,305.80
  6. Step 6: Final answer
    x = 55,330.69

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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.