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Finding the Fourth Proportional to 47,777.53, 71,641.72 and 21,459.69

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Solution

The fourth proportional to 47,777.53, 71,641.72 and 21,459.69 is: 32,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,777.53 : 71,641.72 = 21,459.69 : x
  2. Step 2: Convert to fraction form
    47,777.53/71,641.72 = 21,459.69/x
  3. Step 3: Cross multiply
    47,777.53x = 71,641.72 × 21,459.69
  4. Step 4: Simplify right side
    47,777.53x = 1,537,409,102.27
  5. Step 5: Solve for x
    x = 1,537,409,102.27/47,777.53
  6. Step 6: Final answer
    x = 32,178.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.