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Finding the Fourth Proportional to 58,984.52, 81,409.14 and 35,125

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Solution

The fourth proportional to 58,984.52, 81,409.14 and 35,125 is: 48,478.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,984.52 : 81,409.14 = 35,125 : x
  2. Step 2: Convert to fraction form
    58,984.52/81,409.14 = 35,125/x
  3. Step 3: Cross multiply
    58,984.52x = 81,409.14 × 35,125
  4. Step 4: Simplify right side
    58,984.52x = 2,859,496,042.50
  5. Step 5: Solve for x
    x = 2,859,496,042.50/58,984.52
  6. Step 6: Final answer
    x = 48,478.75

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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.