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Finding the Fourth Proportional to 58,473.50, 80,693.44 and 31,977.50

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Solution

The fourth proportional to 58,473.50, 80,693.44 and 31,977.50 is: 44,128.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,473.50 : 80,693.44 = 31,977.50 : x
  2. Step 2: Convert to fraction form
    58,473.50/80,693.44 = 31,977.50/x
  3. Step 3: Cross multiply
    58,473.50x = 80,693.44 × 31,977.50
  4. Step 4: Simplify right side
    58,473.50x = 2,580,374,477.60
  5. Step 5: Solve for x
    x = 2,580,374,477.60/58,473.50
  6. Step 6: Final answer
    x = 44,128.96

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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.