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Finding the Fourth Proportional to 76,142.90, 105,075.67 and 42,151.38

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Solution

The fourth proportional to 76,142.90, 105,075.67 and 42,151.38 is: 58,168.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,142.90 : 105,075.67 = 42,151.38 : x
  2. Step 2: Convert to fraction form
    76,142.90/105,075.67 = 42,151.38/x
  3. Step 3: Cross multiply
    76,142.90x = 105,075.67 × 42,151.38
  4. Step 4: Simplify right side
    76,142.90x = 4,429,084,494.92
  5. Step 5: Solve for x
    x = 4,429,084,494.92/76,142.90
  6. Step 6: Final answer
    x = 58,168.06

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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.