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Finding the Fourth Proportional to 32,763.56, 49,145.34 and 14,031.50

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Solution

The fourth proportional to 32,763.56, 49,145.34 and 14,031.50 is: 21,047.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,763.56 : 49,145.34 = 14,031.50 : x
  2. Step 2: Convert to fraction form
    32,763.56/49,145.34 = 14,031.50/x
  3. Step 3: Cross multiply
    32,763.56x = 49,145.34 × 14,031.50
  4. Step 4: Simplify right side
    32,763.56x = 689,582,838.21
  5. Step 5: Solve for x
    x = 689,582,838.21/32,763.56
  6. Step 6: Final answer
    x = 21,047.25

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