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Finding the Fourth Proportional to 58,116.50, 87,174.75 and 23,056.16

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Solution

The fourth proportional to 58,116.50, 87,174.75 and 23,056.16 is: 34,584.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,116.50 : 87,174.75 = 23,056.16 : x
  2. Step 2: Convert to fraction form
    58,116.50/87,174.75 = 23,056.16/x
  3. Step 3: Cross multiply
    58,116.50x = 87,174.75 × 23,056.16
  4. Step 4: Simplify right side
    58,116.50x = 2,009,914,548.09
  5. Step 5: Solve for x
    x = 2,009,914,548.09/58,116.50
  6. Step 6: Final answer
    x = 34,584.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.