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Finding the Fourth Proportional to 74,148.78, 102,325.32 and 40,614.78

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Solution

The fourth proportional to 74,148.78, 102,325.32 and 40,614.78 is: 56,048.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,148.78 : 102,325.32 = 40,614.78 : x
  2. Step 2: Convert to fraction form
    74,148.78/102,325.32 = 40,614.78/x
  3. Step 3: Cross multiply
    74,148.78x = 102,325.32 × 40,614.78
  4. Step 4: Simplify right side
    74,148.78x = 4,155,920,360.23
  5. Step 5: Solve for x
    x = 4,155,920,360.23/74,148.78
  6. Step 6: Final answer
    x = 56,048.40

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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.