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Finding the Fourth Proportional to 64,233.81, 96,322.77 and 30,509.60

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Solution

The fourth proportional to 64,233.81, 96,322.77 and 30,509.60 is: 45,751.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,233.81 : 96,322.77 = 30,509.60 : x
  2. Step 2: Convert to fraction form
    64,233.81/96,322.77 = 30,509.60/x
  3. Step 3: Cross multiply
    64,233.81x = 96,322.77 × 30,509.60
  4. Step 4: Simplify right side
    64,233.81x = 2,938,768,701.98
  5. Step 5: Solve for x
    x = 2,938,768,701.98/64,233.81
  6. Step 6: Final answer
    x = 45,751.12

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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.