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Finding the Fourth Proportional to 65,775.72, 98,653.80 and 24,213

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Solution

The fourth proportional to 65,775.72, 98,653.80 and 24,213 is: 36,315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,775.72 : 98,653.80 = 24,213 : x
  2. Step 2: Convert to fraction form
    65,775.72/98,653.80 = 24,213/x
  3. Step 3: Cross multiply
    65,775.72x = 98,653.80 × 24,213
  4. Step 4: Simplify right side
    65,775.72x = 2,388,704,459.40
  5. Step 5: Solve for x
    x = 2,388,704,459.40/65,775.72
  6. Step 6: Final answer
    x = 36,315.90

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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.