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Finding the Fourth Proportional to 32,807.63, 49,211.21 and 10,320.01

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Solution

The fourth proportional to 32,807.63, 49,211.21 and 10,320.01 is: 15,479.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,807.63 : 49,211.21 = 10,320.01 : x
  2. Step 2: Convert to fraction form
    32,807.63/49,211.21 = 10,320.01/x
  3. Step 3: Cross multiply
    32,807.63x = 49,211.21 × 10,320.01
  4. Step 4: Simplify right side
    32,807.63x = 507,860,082.08
  5. Step 5: Solve for x
    x = 507,860,082.08/32,807.63
  6. Step 6: Final answer
    x = 15,479.94

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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.