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Finding the Fourth Proportional to 105,316.64, 157,957.84 and 35,195.84

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Solution

The fourth proportional to 105,316.64, 157,957.84 and 35,195.84 is: 52,788.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,316.64 : 157,957.84 = 35,195.84 : x
  2. Step 2: Convert to fraction form
    105,316.64/157,957.84 = 35,195.84/x
  3. Step 3: Cross multiply
    105,316.64x = 157,957.84 × 35,195.84
  4. Step 4: Simplify right side
    105,316.64x = 5,559,458,863.39
  5. Step 5: Solve for x
    x = 5,559,458,863.39/105,316.64
  6. Step 6: Final answer
    x = 52,788.04

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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.