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Finding the Fourth Proportional to 30,818.53, 42,530.01 and 20,207.93

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Solution

The fourth proportional to 30,818.53, 42,530.01 and 20,207.93 is: 27,887.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,818.53 : 42,530.01 = 20,207.93 : x
  2. Step 2: Convert to fraction form
    30,818.53/42,530.01 = 20,207.93/x
  3. Step 3: Cross multiply
    30,818.53x = 42,530.01 × 20,207.93
  4. Step 4: Simplify right side
    30,818.53x = 859,443,529.45
  5. Step 5: Solve for x
    x = 859,443,529.45/30,818.53
  6. Step 6: Final answer
    x = 27,887.24

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