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Finding the Fourth Proportional to 32,676.56, 49,014.84 and 9,303.00

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Solution

The fourth proportional to 32,676.56, 49,014.84 and 9,303.00 is: 13,954.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,676.56 : 49,014.84 = 9,303.00 : x
  2. Step 2: Convert to fraction form
    32,676.56/49,014.84 = 9,303.00/x
  3. Step 3: Cross multiply
    32,676.56x = 49,014.84 × 9,303.00
  4. Step 4: Simplify right side
    32,676.56x = 455,985,130.98
  5. Step 5: Solve for x
    x = 455,985,130.98/32,676.56
  6. Step 6: Final answer
    x = 13,954.50

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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.