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Finding the Fourth Proportional to 36,242.84, 54,354.40 and 9,941.32

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Solution

The fourth proportional to 36,242.84, 54,354.40 and 9,941.32 is: 14,909.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,242.84 : 54,354.40 = 9,941.32 : x
  2. Step 2: Convert to fraction form
    36,242.84/54,354.40 = 9,941.32/x
  3. Step 3: Cross multiply
    36,242.84x = 54,354.40 × 9,941.32
  4. Step 4: Simplify right side
    36,242.84x = 540,354,483.81
  5. Step 5: Solve for x
    x = 540,354,483.81/36,242.84
  6. Step 6: Final answer
    x = 14,909.28

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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.