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Finding the Fourth Proportional to 32,663.58, 48,995.64 and 10,477

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Solution

The fourth proportional to 32,663.58, 48,995.64 and 10,477 is: 15,715.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,663.58 : 48,995.64 = 10,477 : x
  2. Step 2: Convert to fraction form
    32,663.58/48,995.64 = 10,477/x
  3. Step 3: Cross multiply
    32,663.58x = 48,995.64 × 10,477
  4. Step 4: Simplify right side
    32,663.58x = 513,327,320.28
  5. Step 5: Solve for x
    x = 513,327,320.28/32,663.58
  6. Step 6: Final answer
    x = 15,715.59

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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.