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Finding the Fourth Proportional to 43,715.21, 65,323.93 and 32,824.94

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Solution

The fourth proportional to 43,715.21, 65,323.93 and 32,824.94 is: 49,050.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,715.21 : 65,323.93 = 32,824.94 : x
  2. Step 2: Convert to fraction form
    43,715.21/65,323.93 = 32,824.94/x
  3. Step 3: Cross multiply
    43,715.21x = 65,323.93 × 32,824.94
  4. Step 4: Simplify right side
    43,715.21x = 2,144,254,082.81
  5. Step 5: Solve for x
    x = 2,144,254,082.81/43,715.21
  6. Step 6: Final answer
    x = 49,050.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.