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Finding the Fourth Proportional to 73,320.12, 109,971.54 and 57,742.20

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Solution

The fourth proportional to 73,320.12, 109,971.54 and 57,742.20 is: 86,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,320.12 : 109,971.54 = 57,742.20 : x
  2. Step 2: Convert to fraction form
    73,320.12/109,971.54 = 57,742.20/x
  3. Step 3: Cross multiply
    73,320.12x = 109,971.54 × 57,742.20
  4. Step 4: Simplify right side
    73,320.12x = 6,349,998,656.99
  5. Step 5: Solve for x
    x = 6,349,998,656.99/73,320.12
  6. Step 6: Final answer
    x = 86,606.50

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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.