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Finding the Fourth Proportional to 97,482.63, 146,237.88 and 30,020.37

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Solution

The fourth proportional to 97,482.63, 146,237.88 and 30,020.37 is: 45,034.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,482.63 : 146,237.88 = 30,020.37 : x
  2. Step 2: Convert to fraction form
    97,482.63/146,237.88 = 30,020.37/x
  3. Step 3: Cross multiply
    97,482.63x = 146,237.88 × 30,020.37
  4. Step 4: Simplify right side
    97,482.63x = 4,390,115,265.62
  5. Step 5: Solve for x
    x = 4,390,115,265.62/97,482.63
  6. Step 6: Final answer
    x = 45,034.85

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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.