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Finding the Fourth Proportional to 97,482.38, 146,223.56 and 53,146.42

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Solution

The fourth proportional to 97,482.38, 146,223.56 and 53,146.42 is: 79,719.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,482.38 : 146,223.56 = 53,146.42 : x
  2. Step 2: Convert to fraction form
    97,482.38/146,223.56 = 53,146.42/x
  3. Step 3: Cross multiply
    97,482.38x = 146,223.56 × 53,146.42
  4. Step 4: Simplify right side
    97,482.38x = 7,771,257,736.81
  5. Step 5: Solve for x
    x = 7,771,257,736.81/97,482.38
  6. Step 6: Final answer
    x = 79,719.61

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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.