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Finding the Fourth Proportional to 65,212.48, 97,804.14 and 30,133

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Solution

The fourth proportional to 65,212.48, 97,804.14 and 30,133 is: 45,192.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,212.48 : 97,804.14 = 30,133 : x
  2. Step 2: Convert to fraction form
    65,212.48/97,804.14 = 30,133/x
  3. Step 3: Cross multiply
    65,212.48x = 97,804.14 × 30,133
  4. Step 4: Simplify right side
    65,212.48x = 2,947,132,150.62
  5. Step 5: Solve for x
    x = 2,947,132,150.62/65,212.48
  6. Step 6: Final answer
    x = 45,192.76

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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.