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Finding the Fourth Proportional to 65,437.29, 98,154.86 and 16,189.29

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Solution

The fourth proportional to 65,437.29, 98,154.86 and 16,189.29 is: 24,283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,437.29 : 98,154.86 = 16,189.29 : x
  2. Step 2: Convert to fraction form
    65,437.29/98,154.86 = 16,189.29/x
  3. Step 3: Cross multiply
    65,437.29x = 98,154.86 × 16,189.29
  4. Step 4: Simplify right side
    65,437.29x = 1,589,057,412.50
  5. Step 5: Solve for x
    x = 1,589,057,412.50/65,437.29
  6. Step 6: Final answer
    x = 24,283.67

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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.