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Finding the Fourth Proportional to 113,776.25, 170,664.38 and 30,670.25

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Solution

The fourth proportional to 113,776.25, 170,664.38 and 30,670.25 is: 46,005.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,776.25 : 170,664.38 = 30,670.25 : x
  2. Step 2: Convert to fraction form
    113,776.25/170,664.38 = 30,670.25/x
  3. Step 3: Cross multiply
    113,776.25x = 170,664.38 × 30,670.25
  4. Step 4: Simplify right side
    113,776.25x = 5,234,319,047.34
  5. Step 5: Solve for x
    x = 5,234,319,047.34/113,776.25
  6. Step 6: Final answer
    x = 46,005.38

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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.