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Finding the Fourth Proportional to 56,534.34, 84,801.50 and 33,148.02

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Solution

The fourth proportional to 56,534.34, 84,801.50 and 33,148.02 is: 49,722.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,534.34 : 84,801.50 = 33,148.02 : x
  2. Step 2: Convert to fraction form
    56,534.34/84,801.50 = 33,148.02/x
  3. Step 3: Cross multiply
    56,534.34x = 84,801.50 × 33,148.02
  4. Step 4: Simplify right side
    56,534.34x = 2,811,001,818.03
  5. Step 5: Solve for x
    x = 2,811,001,818.03/56,534.34
  6. Step 6: Final answer
    x = 49,722.02

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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.