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Finding the Fourth Proportional to 35,693.68, 53,535.98 and 9,400.48

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Solution

The fourth proportional to 35,693.68, 53,535.98 and 9,400.48 is: 14,099.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,693.68 : 53,535.98 = 9,400.48 : x
  2. Step 2: Convert to fraction form
    35,693.68/53,535.98 = 9,400.48/x
  3. Step 3: Cross multiply
    35,693.68x = 53,535.98 × 9,400.48
  4. Step 4: Simplify right side
    35,693.68x = 503,263,909.27
  5. Step 5: Solve for x
    x = 503,263,909.27/35,693.68
  6. Step 6: Final answer
    x = 14,099.52

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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.