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Finding the Fourth Proportional to 106,371, 159,564.18 and 40,707

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Solution

The fourth proportional to 106,371, 159,564.18 and 40,707 is: 61,063.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,371 : 159,564.18 = 40,707 : x
  2. Step 2: Convert to fraction form
    106,371/159,564.18 = 40,707/x
  3. Step 3: Cross multiply
    106,371x = 159,564.18 × 40,707
  4. Step 4: Simplify right side
    106,371x = 6,495,379,075.26
  5. Step 5: Solve for x
    x = 6,495,379,075.26/106,371
  6. Step 6: Final answer
    x = 61,063.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.