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Finding the Fourth Proportional to 35,776.62, 53,664.12 and 9,483.21

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Solution

The fourth proportional to 35,776.62, 53,664.12 and 9,483.21 is: 14,224.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,776.62 : 53,664.12 = 9,483.21 : x
  2. Step 2: Convert to fraction form
    35,776.62/53,664.12 = 9,483.21/x
  3. Step 3: Cross multiply
    35,776.62x = 53,664.12 × 9,483.21
  4. Step 4: Simplify right side
    35,776.62x = 508,908,119.43
  5. Step 5: Solve for x
    x = 508,908,119.43/35,776.62
  6. Step 6: Final answer
    x = 14,224.60

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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.