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Finding the Fourth Proportional to 65,053.84, 89,773.12 and 36,758.92

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Solution

The fourth proportional to 65,053.84, 89,773.12 and 36,758.92 is: 50,726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,053.84 : 89,773.12 = 36,758.92 : x
  2. Step 2: Convert to fraction form
    65,053.84/89,773.12 = 36,758.92/x
  3. Step 3: Cross multiply
    65,053.84x = 89,773.12 × 36,758.92
  4. Step 4: Simplify right side
    65,053.84x = 3,299,962,936.23
  5. Step 5: Solve for x
    x = 3,299,962,936.23/65,053.84
  6. Step 6: Final answer
    x = 50,726.64

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1.5x scale

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.