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Finding the Fourth Proportional to 30,862.38, 46,293.65 and 11,154.86

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Solution

The fourth proportional to 30,862.38, 46,293.65 and 11,154.86 is: 16,732.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,862.38 : 46,293.65 = 11,154.86 : x
  2. Step 2: Convert to fraction form
    30,862.38/46,293.65 = 11,154.86/x
  3. Step 3: Cross multiply
    30,862.38x = 46,293.65 × 11,154.86
  4. Step 4: Simplify right side
    30,862.38x = 516,398,897.40
  5. Step 5: Solve for x
    x = 516,398,897.40/30,862.38
  6. Step 6: Final answer
    x = 16,732.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.