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Finding the Fourth Proportional to 35,656.57, 53,470.50 and 13,457.89

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Solution

The fourth proportional to 35,656.57, 53,470.50 and 13,457.89 is: 20,181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,656.57 : 53,470.50 = 13,457.89 : x
  2. Step 2: Convert to fraction form
    35,656.57/53,470.50 = 13,457.89/x
  3. Step 3: Cross multiply
    35,656.57x = 53,470.50 × 13,457.89
  4. Step 4: Simplify right side
    35,656.57x = 719,600,107.25
  5. Step 5: Solve for x
    x = 719,600,107.25/35,656.57
  6. Step 6: Final answer
    x = 20,181.42

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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.