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Finding the Fourth Proportional to 58,506.92, 80,739.14 and 31,649.04

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Solution

The fourth proportional to 58,506.92, 80,739.14 and 31,649.04 is: 43,675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,506.92 : 80,739.14 = 31,649.04 : x
  2. Step 2: Convert to fraction form
    58,506.92/80,739.14 = 31,649.04/x
  3. Step 3: Cross multiply
    58,506.92x = 80,739.14 × 31,649.04
  4. Step 4: Simplify right side
    58,506.92x = 2,555,316,271.43
  5. Step 5: Solve for x
    x = 2,555,316,271.43/58,506.92
  6. Step 6: Final answer
    x = 43,675.45

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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.