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Finding the Fourth Proportional to 71,075.16, 106,677.23 and 37,823.22

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Solution

The fourth proportional to 71,075.16, 106,677.23 and 37,823.22 is: 56,769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,075.16 : 106,677.23 = 37,823.22 : x
  2. Step 2: Convert to fraction form
    71,075.16/106,677.23 = 37,823.22/x
  3. Step 3: Cross multiply
    71,075.16x = 106,677.23 × 37,823.22
  4. Step 4: Simplify right side
    71,075.16x = 4,034,876,150.16
  5. Step 5: Solve for x
    x = 4,034,876,150.16/71,075.16
  6. Step 6: Final answer
    x = 56,769.15

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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.