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Finding the Fourth Proportional to 65,029.81, 89,748.44 and 36,737.32

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Solution

The fourth proportional to 65,029.81, 89,748.44 and 36,737.32 is: 50,701.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,029.81 : 89,748.44 = 36,737.32 : x
  2. Step 2: Convert to fraction form
    65,029.81/89,748.44 = 36,737.32/x
  3. Step 3: Cross multiply
    65,029.81x = 89,748.44 × 36,737.32
  4. Step 4: Simplify right side
    65,029.81x = 3,297,117,159.78
  5. Step 5: Solve for x
    x = 3,297,117,159.78/65,029.81
  6. Step 6: Final answer
    x = 50,701.63

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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.