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Finding the Fourth Proportional to 53,430.84, 80,142.12 and 21,832.50

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Solution

The fourth proportional to 53,430.84, 80,142.12 and 21,832.50 is: 32,747.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,430.84 : 80,142.12 = 21,832.50 : x
  2. Step 2: Convert to fraction form
    53,430.84/80,142.12 = 21,832.50/x
  3. Step 3: Cross multiply
    53,430.84x = 80,142.12 × 21,832.50
  4. Step 4: Simplify right side
    53,430.84x = 1,749,702,834.90
  5. Step 5: Solve for x
    x = 1,749,702,834.90/53,430.84
  6. Step 6: Final answer
    x = 32,747.06

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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.