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Finding the Fourth Proportional to 74,097.60, 102,254.02 and 40,105.40

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Solution

The fourth proportional to 74,097.60, 102,254.02 and 40,105.40 is: 55,345.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,097.60 : 102,254.02 = 40,105.40 : x
  2. Step 2: Convert to fraction form
    74,097.60/102,254.02 = 40,105.40/x
  3. Step 3: Cross multiply
    74,097.60x = 102,254.02 × 40,105.40
  4. Step 4: Simplify right side
    74,097.60x = 4,100,938,373.71
  5. Step 5: Solve for x
    x = 4,100,938,373.71/74,097.60
  6. Step 6: Final answer
    x = 55,345.09

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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.