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Finding the Fourth Proportional to 74,486.96, 102,792.84 and 40,495.40

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Solution

The fourth proportional to 74,486.96, 102,792.84 and 40,495.40 is: 55,884.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,486.96 : 102,792.84 = 40,495.40 : x
  2. Step 2: Convert to fraction form
    74,486.96/102,792.84 = 40,495.40/x
  3. Step 3: Cross multiply
    74,486.96x = 102,792.84 × 40,495.40
  4. Step 4: Simplify right side
    74,486.96x = 4,162,637,172.94
  5. Step 5: Solve for x
    x = 4,162,637,172.94/74,486.96
  6. Step 6: Final answer
    x = 55,884.11

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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.