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Finding the Fourth Proportional to 74,287.40, 102,516 and 40,295.80

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Solution

The fourth proportional to 74,287.40, 102,516 and 40,295.80 is: 55,607.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,287.40 : 102,516 = 40,295.80 : x
  2. Step 2: Convert to fraction form
    74,287.40/102,516 = 40,295.80/x
  3. Step 3: Cross multiply
    74,287.40x = 102,516 × 40,295.80
  4. Step 4: Simplify right side
    74,287.40x = 4,130,964,232.80
  5. Step 5: Solve for x
    x = 4,130,964,232.80/74,287.40
  6. Step 6: Final answer
    x = 55,607.87

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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.