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Finding the Fourth Proportional to 74,025, 102,154.50 and 40,491.72

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Solution

The fourth proportional to 74,025, 102,154.50 and 40,491.72 is: 55,878.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,025 : 102,154.50 = 40,491.72 : x
  2. Step 2: Convert to fraction form
    74,025/102,154.50 = 40,491.72/x
  3. Step 3: Cross multiply
    74,025x = 102,154.50 × 40,491.72
  4. Step 4: Simplify right side
    74,025x = 4,136,411,410.74
  5. Step 5: Solve for x
    x = 4,136,411,410.74/74,025
  6. Step 6: Final answer
    x = 55,878.57

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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.