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Finding the Fourth Proportional to 58,520, 80,757.76 and 32,024

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Solution

The fourth proportional to 58,520, 80,757.76 and 32,024 is: 44,193.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,520 : 80,757.76 = 32,024 : x
  2. Step 2: Convert to fraction form
    58,520/80,757.76 = 32,024/x
  3. Step 3: Cross multiply
    58,520x = 80,757.76 × 32,024
  4. Step 4: Simplify right side
    58,520x = 2,586,186,506.24
  5. Step 5: Solve for x
    x = 2,586,186,506.24/58,520
  6. Step 6: Final answer
    x = 44,193.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.