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Finding the Fourth Proportional to 30,492.84, 45,742.26 and 9,432.06

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Solution

The fourth proportional to 30,492.84, 45,742.26 and 9,432.06 is: 14,149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,492.84 : 45,742.26 = 9,432.06 : x
  2. Step 2: Convert to fraction form
    30,492.84/45,742.26 = 9,432.06/x
  3. Step 3: Cross multiply
    30,492.84x = 45,742.26 × 9,432.06
  4. Step 4: Simplify right side
    30,492.84x = 431,443,740.86
  5. Step 5: Solve for x
    x = 431,443,740.86/30,492.84
  6. Step 6: Final answer
    x = 14,149.02

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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.