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Finding the Fourth Proportional to 58,507.86, 80,740.60 and 31,650.30

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Solution

The fourth proportional to 58,507.86, 80,740.60 and 31,650.30 is: 43,677.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,507.86 : 80,740.60 = 31,650.30 : x
  2. Step 2: Convert to fraction form
    58,507.86/80,740.60 = 31,650.30/x
  3. Step 3: Cross multiply
    58,507.86x = 80,740.60 × 31,650.30
  4. Step 4: Simplify right side
    58,507.86x = 2,555,464,212.18
  5. Step 5: Solve for x
    x = 2,555,464,212.18/58,507.86
  6. Step 6: Final answer
    x = 43,677.28

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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.