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Finding the Fourth Proportional to 32,703, 45,130.14 and 17,799

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Solution

The fourth proportional to 32,703, 45,130.14 and 17,799 is: 24,562.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,703 : 45,130.14 = 17,799 : x
  2. Step 2: Convert to fraction form
    32,703/45,130.14 = 17,799/x
  3. Step 3: Cross multiply
    32,703x = 45,130.14 × 17,799
  4. Step 4: Simplify right side
    32,703x = 803,271,361.86
  5. Step 5: Solve for x
    x = 803,271,361.86/32,703
  6. Step 6: Final answer
    x = 24,562.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.