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Finding the Fourth Proportional to 74,055.60, 102,199.44 and 42,224.16

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Solution

The fourth proportional to 74,055.60, 102,199.44 and 42,224.16 is: 58,270.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,055.60 : 102,199.44 = 42,224.16 : x
  2. Step 2: Convert to fraction form
    74,055.60/102,199.44 = 42,224.16/x
  3. Step 3: Cross multiply
    74,055.60x = 102,199.44 × 42,224.16
  4. Step 4: Simplify right side
    74,055.60x = 4,315,285,506.47
  5. Step 5: Solve for x
    x = 4,315,285,506.47/74,055.60
  6. Step 6: Final answer
    x = 58,270.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.