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Finding the Fourth Proportional to 113,452, 170,255.76 and 39,580

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Solution

The fourth proportional to 113,452, 170,255.76 and 39,580 is: 59,397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,452 : 170,255.76 = 39,580 : x
  2. Step 2: Convert to fraction form
    113,452/170,255.76 = 39,580/x
  3. Step 3: Cross multiply
    113,452x = 170,255.76 × 39,580
  4. Step 4: Simplify right side
    113,452x = 6,738,722,980.80
  5. Step 5: Solve for x
    x = 6,738,722,980.80/113,452
  6. Step 6: Final answer
    x = 59,397.13

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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.