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Finding the Fourth Proportional to 30,111.86, 45,168.24 and 11,400.71

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Solution

The fourth proportional to 30,111.86, 45,168.24 and 11,400.71 is: 17,101.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,111.86 : 45,168.24 = 11,400.71 : x
  2. Step 2: Convert to fraction form
    30,111.86/45,168.24 = 11,400.71/x
  3. Step 3: Cross multiply
    30,111.86x = 45,168.24 × 11,400.71
  4. Step 4: Simplify right side
    30,111.86x = 514,949,779.61
  5. Step 5: Solve for x
    x = 514,949,779.61/30,111.86
  6. Step 6: Final answer
    x = 17,101.23

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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.