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Finding the Fourth Proportional to 64,506.53, 89,019 and 36,212.19

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Solution

The fourth proportional to 64,506.53, 89,019 and 36,212.19 is: 49,972.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,506.53 : 89,019 = 36,212.19 : x
  2. Step 2: Convert to fraction form
    64,506.53/89,019 = 36,212.19/x
  3. Step 3: Cross multiply
    64,506.53x = 89,019 × 36,212.19
  4. Step 4: Simplify right side
    64,506.53x = 3,223,572,941.61
  5. Step 5: Solve for x
    x = 3,223,572,941.61/64,506.53
  6. Step 6: Final answer
    x = 49,972.82

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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.