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Finding the Fourth Proportional to 70,075.43, 105,050.64 and 25,691.84

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Solution

The fourth proportional to 70,075.43, 105,050.64 and 25,691.84 is: 38,514.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,075.43 : 105,050.64 = 25,691.84 : x
  2. Step 2: Convert to fraction form
    70,075.43/105,050.64 = 25,691.84/x
  3. Step 3: Cross multiply
    70,075.43x = 105,050.64 × 25,691.84
  4. Step 4: Simplify right side
    70,075.43x = 2,698,943,709.52
  5. Step 5: Solve for x
    x = 2,698,943,709.52/70,075.43
  6. Step 6: Final answer
    x = 38,514.84

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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.