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Finding the Fourth Proportional to 58,228, 80,354.64 and 31,732

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Solution

The fourth proportional to 58,228, 80,354.64 and 31,732 is: 43,790.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,228 : 80,354.64 = 31,732 : x
  2. Step 2: Convert to fraction form
    58,228/80,354.64 = 31,732/x
  3. Step 3: Cross multiply
    58,228x = 80,354.64 × 31,732
  4. Step 4: Simplify right side
    58,228x = 2,549,813,436.48
  5. Step 5: Solve for x
    x = 2,549,813,436.48/58,228
  6. Step 6: Final answer
    x = 43,790.16

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