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Finding the Fourth Proportional to 32,762.76, 49,145.40 and 10,576.50

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Solution

The fourth proportional to 32,762.76, 49,145.40 and 10,576.50 is: 15,865.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,762.76 : 49,145.40 = 10,576.50 : x
  2. Step 2: Convert to fraction form
    32,762.76/49,145.40 = 10,576.50/x
  3. Step 3: Cross multiply
    32,762.76x = 49,145.40 × 10,576.50
  4. Step 4: Simplify right side
    32,762.76x = 519,786,323.10
  5. Step 5: Solve for x
    x = 519,786,323.10/32,762.76
  6. Step 6: Final answer
    x = 15,865.16

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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.