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Finding the Fourth Proportional to 74,056.60, 102,200.82 and 42,225.16

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Solution

The fourth proportional to 74,056.60, 102,200.82 and 42,225.16 is: 58,272.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,056.60 : 102,200.82 = 42,225.16 : x
  2. Step 2: Convert to fraction form
    74,056.60/102,200.82 = 42,225.16/x
  3. Step 3: Cross multiply
    74,056.60x = 102,200.82 × 42,225.16
  4. Step 4: Simplify right side
    74,056.60x = 4,315,445,976.63
  5. Step 5: Solve for x
    x = 4,315,445,976.63/74,056.60
  6. Step 6: Final answer
    x = 58,272.27

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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.