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Finding the Fourth Proportional to 105,312.56, 157,965.60 and 35,192.48

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Solution

The fourth proportional to 105,312.56, 157,965.60 and 35,192.48 is: 52,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,312.56 : 157,965.60 = 35,192.48 : x
  2. Step 2: Convert to fraction form
    105,312.56/157,965.60 = 35,192.48/x
  3. Step 3: Cross multiply
    105,312.56x = 157,965.60 × 35,192.48
  4. Step 4: Simplify right side
    105,312.56x = 5,559,201,218.69
  5. Step 5: Solve for x
    x = 5,559,201,218.69/105,312.56
  6. Step 6: Final answer
    x = 52,787.64

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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.