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Finding the Fourth Proportional to 75,459.70, 113,212.18 and 30,457.90

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Solution

The fourth proportional to 75,459.70, 113,212.18 and 30,457.90 is: 45,695.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,459.70 : 113,212.18 = 30,457.90 : x
  2. Step 2: Convert to fraction form
    75,459.70/113,212.18 = 30,457.90/x
  3. Step 3: Cross multiply
    75,459.70x = 113,212.18 × 30,457.90
  4. Step 4: Simplify right side
    75,459.70x = 3,448,205,257.22
  5. Step 5: Solve for x
    x = 3,448,205,257.22/75,459.70
  6. Step 6: Final answer
    x = 45,695.98

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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.