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Finding the Fourth Proportional to 30,484.53, 45,729.36 and 11,763.81

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Solution

The fourth proportional to 30,484.53, 45,729.36 and 11,763.81 is: 17,646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,484.53 : 45,729.36 = 11,763.81 : x
  2. Step 2: Convert to fraction form
    30,484.53/45,729.36 = 11,763.81/x
  3. Step 3: Cross multiply
    30,484.53x = 45,729.36 × 11,763.81
  4. Step 4: Simplify right side
    30,484.53x = 537,951,502.46
  5. Step 5: Solve for x
    x = 537,951,502.46/30,484.53
  6. Step 6: Final answer
    x = 17,646.70

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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.