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Finding the Fourth Proportional to 65,196.80, 89,967.23 and 36,123.22

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Solution

The fourth proportional to 65,196.80, 89,967.23 and 36,123.22 is: 49,847.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,196.80 : 89,967.23 = 36,123.22 : x
  2. Step 2: Convert to fraction form
    65,196.80/89,967.23 = 36,123.22/x
  3. Step 3: Cross multiply
    65,196.80x = 89,967.23 × 36,123.22
  4. Step 4: Simplify right side
    65,196.80x = 3,249,905,973.92
  5. Step 5: Solve for x
    x = 3,249,905,973.92/65,196.80
  6. Step 6: Final answer
    x = 49,847.63

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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.