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Finding the Fourth Proportional to 97,412.40, 146,037.60 and 41,295.60

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Solution

The fourth proportional to 97,412.40, 146,037.60 and 41,295.60 is: 61,909.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,412.40 : 146,037.60 = 41,295.60 : x
  2. Step 2: Convert to fraction form
    97,412.40/146,037.60 = 41,295.60/x
  3. Step 3: Cross multiply
    97,412.40x = 146,037.60 × 41,295.60
  4. Step 4: Simplify right side
    97,412.40x = 6,030,710,314.56
  5. Step 5: Solve for x
    x = 6,030,710,314.56/97,412.40
  6. Step 6: Final answer
    x = 61,909.06

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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.