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Finding the Fourth Proportional to 30,938.53, 46,409.67 and 8,753.59

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Solution

The fourth proportional to 30,938.53, 46,409.67 and 8,753.59 is: 13,130.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,938.53 : 46,409.67 = 8,753.59 : x
  2. Step 2: Convert to fraction form
    30,938.53/46,409.67 = 8,753.59/x
  3. Step 3: Cross multiply
    30,938.53x = 46,409.67 × 8,753.59
  4. Step 4: Simplify right side
    30,938.53x = 406,251,223.22
  5. Step 5: Solve for x
    x = 406,251,223.22/30,938.53
  6. Step 6: Final answer
    x = 13,130.92

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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.