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Finding the Fourth Proportional to 30,157.86, 45,237.24 and 14,364.66

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Solution

The fourth proportional to 30,157.86, 45,237.24 and 14,364.66 is: 21,547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,157.86 : 45,237.24 = 14,364.66 : x
  2. Step 2: Convert to fraction form
    30,157.86/45,237.24 = 14,364.66/x
  3. Step 3: Cross multiply
    30,157.86x = 45,237.24 × 14,364.66
  4. Step 4: Simplify right side
    30,157.86x = 649,817,571.94
  5. Step 5: Solve for x
    x = 649,817,571.94/30,157.86
  6. Step 6: Final answer
    x = 21,547.20

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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.