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Finding the Fourth Proportional to 30,492.86, 45,744.14 and 9,432.05

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Solution

The fourth proportional to 30,492.86, 45,744.14 and 9,432.05 is: 14,149.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,492.86 : 45,744.14 = 9,432.05 : x
  2. Step 2: Convert to fraction form
    30,492.86/45,744.14 = 9,432.05/x
  3. Step 3: Cross multiply
    30,492.86x = 45,744.14 × 9,432.05
  4. Step 4: Simplify right side
    30,492.86x = 431,460,810.55
  5. Step 5: Solve for x
    x = 431,460,810.55/30,492.86
  6. Step 6: Final answer
    x = 14,149.57

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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.