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Finding the Fourth Proportional to 105,242.51, 157,753.51 and 49,036.28

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Solution

The fourth proportional to 105,242.51, 157,753.51 and 49,036.28 is: 73,503.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,242.51 : 157,753.51 = 49,036.28 : x
  2. Step 2: Convert to fraction form
    105,242.51/157,753.51 = 49,036.28/x
  3. Step 3: Cross multiply
    105,242.51x = 157,753.51 × 49,036.28
  4. Step 4: Simplify right side
    105,242.51x = 7,735,644,375.98
  5. Step 5: Solve for x
    x = 7,735,644,375.98/105,242.51
  6. Step 6: Final answer
    x = 73,503.04

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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.