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Finding the Fourth Proportional to 103,564.32, 155,346.24 and 41,220

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Solution

The fourth proportional to 103,564.32, 155,346.24 and 41,220 is: 61,829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,564.32 : 155,346.24 = 41,220 : x
  2. Step 2: Convert to fraction form
    103,564.32/155,346.24 = 41,220/x
  3. Step 3: Cross multiply
    103,564.32x = 155,346.24 × 41,220
  4. Step 4: Simplify right side
    103,564.32x = 6,403,372,012.80
  5. Step 5: Solve for x
    x = 6,403,372,012.80/103,564.32
  6. Step 6: Final answer
    x = 61,829.90

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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.