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Finding the Fourth Proportional to 35,969.96, 53,962.68 and 13,783.32

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Solution

The fourth proportional to 35,969.96, 53,962.68 and 13,783.32 is: 20,677.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,969.96 : 53,962.68 = 13,783.32 : x
  2. Step 2: Convert to fraction form
    35,969.96/53,962.68 = 13,783.32/x
  3. Step 3: Cross multiply
    35,969.96x = 53,962.68 × 13,783.32
  4. Step 4: Simplify right side
    35,969.96x = 743,784,886.50
  5. Step 5: Solve for x
    x = 743,784,886.50/35,969.96
  6. Step 6: Final answer
    x = 20,677.95

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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.