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Finding the Fourth Proportional to 75,813.04, 113,718 and 33,681.70

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Solution

The fourth proportional to 75,813.04, 113,718 and 33,681.70 is: 50,521.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,813.04 : 113,718 = 33,681.70 : x
  2. Step 2: Convert to fraction form
    75,813.04/113,718 = 33,681.70/x
  3. Step 3: Cross multiply
    75,813.04x = 113,718 × 33,681.70
  4. Step 4: Simplify right side
    75,813.04x = 3,830,215,276.31
  5. Step 5: Solve for x
    x = 3,830,215,276.31/75,813.04
  6. Step 6: Final answer
    x = 50,521.85

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1.5x scale

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.