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Finding the Fourth Proportional to 75,484.38, 113,246.01 and 28,711.74

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Solution

The fourth proportional to 75,484.38, 113,246.01 and 28,711.74 is: 43,075.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,484.38 : 113,246.01 = 28,711.74 : x
  2. Step 2: Convert to fraction form
    75,484.38/113,246.01 = 28,711.74/x
  3. Step 3: Cross multiply
    75,484.38x = 113,246.01 × 28,711.74
  4. Step 4: Simplify right side
    75,484.38x = 3,251,489,995.16
  5. Step 5: Solve for x
    x = 3,251,489,995.16/75,484.38
  6. Step 6: Final answer
    x = 43,075.00

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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.