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Finding the Fourth Proportional to 96,703.92, 145,071 and 30,130.64

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Solution

The fourth proportional to 96,703.92, 145,071 and 30,130.64 is: 45,200.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,703.92 : 145,071 = 30,130.64 : x
  2. Step 2: Convert to fraction form
    96,703.92/145,071 = 30,130.64/x
  3. Step 3: Cross multiply
    96,703.92x = 145,071 × 30,130.64
  4. Step 4: Simplify right side
    96,703.92x = 4,371,082,075.44
  5. Step 5: Solve for x
    x = 4,371,082,075.44/96,703.92
  6. Step 6: Final answer
    x = 45,200.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.