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Finding the Fourth Proportional to 74,242.50, 102,459.54 and 40,708.50

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Solution

The fourth proportional to 74,242.50, 102,459.54 and 40,708.50 is: 56,180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,242.50 : 102,459.54 = 40,708.50 : x
  2. Step 2: Convert to fraction form
    74,242.50/102,459.54 = 40,708.50/x
  3. Step 3: Cross multiply
    74,242.50x = 102,459.54 × 40,708.50
  4. Step 4: Simplify right side
    74,242.50x = 4,170,974,184.09
  5. Step 5: Solve for x
    x = 4,170,974,184.09/74,242.50
  6. Step 6: Final answer
    x = 56,180.41

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Why These Related Problems?

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