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Finding the Fourth Proportional to 30,460.34, 45,697.72 and 9,683.84

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Solution

The fourth proportional to 30,460.34, 45,697.72 and 9,683.84 is: 14,528.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,460.34 : 45,697.72 = 9,683.84 : x
  2. Step 2: Convert to fraction form
    30,460.34/45,697.72 = 9,683.84/x
  3. Step 3: Cross multiply
    30,460.34x = 45,697.72 × 9,683.84
  4. Step 4: Simplify right side
    30,460.34x = 442,529,408.84
  5. Step 5: Solve for x
    x = 442,529,408.84/30,460.34
  6. Step 6: Final answer
    x = 14,528.05

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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.