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Finding the Fourth Proportional to 32,803, 45,268.14 and 17,899

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Solution

The fourth proportional to 32,803, 45,268.14 and 17,899 is: 24,700.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,803 : 45,268.14 = 17,899 : x
  2. Step 2: Convert to fraction form
    32,803/45,268.14 = 17,899/x
  3. Step 3: Cross multiply
    32,803x = 45,268.14 × 17,899
  4. Step 4: Simplify right side
    32,803x = 810,254,437.86
  5. Step 5: Solve for x
    x = 810,254,437.86/32,803
  6. Step 6: Final answer
    x = 24,700.62

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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.