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Finding the Fourth Proportional to 103,765.42, 155,584.16 and 40,511.90

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Solution

The fourth proportional to 103,765.42, 155,584.16 and 40,511.90 is: 60,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,765.42 : 155,584.16 = 40,511.90 : x
  2. Step 2: Convert to fraction form
    103,765.42/155,584.16 = 40,511.90/x
  3. Step 3: Cross multiply
    103,765.42x = 155,584.16 × 40,511.90
  4. Step 4: Simplify right side
    103,765.42x = 6,303,009,931.50
  5. Step 5: Solve for x
    x = 6,303,009,931.50/103,765.42
  6. Step 6: Final answer
    x = 60,742.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.