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Finding the Fourth Proportional to 32,666.41, 48,995 and 10,476.90

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Solution

The fourth proportional to 32,666.41, 48,995 and 10,476.90 is: 15,713.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,666.41 : 48,995 = 10,476.90 : x
  2. Step 2: Convert to fraction form
    32,666.41/48,995 = 10,476.90/x
  3. Step 3: Cross multiply
    32,666.41x = 48,995 × 10,476.90
  4. Step 4: Simplify right side
    32,666.41x = 513,315,715.50
  5. Step 5: Solve for x
    x = 513,315,715.50/32,666.41
  6. Step 6: Final answer
    x = 15,713.87

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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.