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Finding the Fourth Proportional to 74,098.50, 102,255.94 and 40,564.50

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Solution

The fourth proportional to 74,098.50, 102,255.94 and 40,564.50 is: 55,979.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,098.50 : 102,255.94 = 40,564.50 : x
  2. Step 2: Convert to fraction form
    74,098.50/102,255.94 = 40,564.50/x
  3. Step 3: Cross multiply
    74,098.50x = 102,255.94 × 40,564.50
  4. Step 4: Simplify right side
    74,098.50x = 4,147,960,875.31
  5. Step 5: Solve for x
    x = 4,147,960,875.31/74,098.50
  6. Step 6: Final answer
    x = 55,979.01

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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.