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Finding the Fourth Proportional to 97,852.43, 135,036.35 and 55,419.16

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Solution

The fourth proportional to 97,852.43, 135,036.35 and 55,419.16 is: 76,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,852.43 : 135,036.35 = 55,419.16 : x
  2. Step 2: Convert to fraction form
    97,852.43/135,036.35 = 55,419.16/x
  3. Step 3: Cross multiply
    97,852.43x = 135,036.35 × 55,419.16
  4. Step 4: Simplify right side
    97,852.43x = 7,483,601,546.38
  5. Step 5: Solve for x
    x = 7,483,601,546.38/97,852.43
  6. Step 6: Final answer
    x = 76,478.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.