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Finding the Fourth Proportional to 70,348.38, 97,075.71 and 38,512.14

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Solution

The fourth proportional to 70,348.38, 97,075.71 and 38,512.14 is: 53,143.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,348.38 : 97,075.71 = 38,512.14 : x
  2. Step 2: Convert to fraction form
    70,348.38/97,075.71 = 38,512.14/x
  3. Step 3: Cross multiply
    70,348.38x = 97,075.71 × 38,512.14
  4. Step 4: Simplify right side
    70,348.38x = 3,738,593,334.12
  5. Step 5: Solve for x
    x = 3,738,593,334.12/70,348.38
  6. Step 6: Final answer
    x = 53,143.99

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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.