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Finding the Fourth Proportional to 74,411.16, 102,687.41 and 40,877.16

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Solution

The fourth proportional to 74,411.16, 102,687.41 and 40,877.16 is: 56,410.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,411.16 : 102,687.41 = 40,877.16 : x
  2. Step 2: Convert to fraction form
    74,411.16/102,687.41 = 40,877.16/x
  3. Step 3: Cross multiply
    74,411.16x = 102,687.41 × 40,877.16
  4. Step 4: Simplify right side
    74,411.16x = 4,197,569,405.67
  5. Step 5: Solve for x
    x = 4,197,569,405.67/74,411.16
  6. Step 6: Final answer
    x = 56,410.48

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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.