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Finding the Fourth Proportional to 58,496.20, 80,724.50 and 31,638.74

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Solution

The fourth proportional to 58,496.20, 80,724.50 and 31,638.74 is: 43,661.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,496.20 : 80,724.50 = 31,638.74 : x
  2. Step 2: Convert to fraction form
    58,496.20/80,724.50 = 31,638.74/x
  3. Step 3: Cross multiply
    58,496.20x = 80,724.50 × 31,638.74
  4. Step 4: Simplify right side
    58,496.20x = 2,554,021,467.13
  5. Step 5: Solve for x
    x = 2,554,021,467.13/58,496.20
  6. Step 6: Final answer
    x = 43,661.32

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1.5x scale

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.