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Finding the Fourth Proportional to 35,698.92, 53,551.02 and 9,403.50

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Solution

The fourth proportional to 35,698.92, 53,551.02 and 9,403.50 is: 14,105.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,698.92 : 53,551.02 = 9,403.50 : x
  2. Step 2: Convert to fraction form
    35,698.92/53,551.02 = 9,403.50/x
  3. Step 3: Cross multiply
    35,698.92x = 53,551.02 × 9,403.50
  4. Step 4: Simplify right side
    35,698.92x = 503,567,016.57
  5. Step 5: Solve for x
    x = 503,567,016.57/35,698.92
  6. Step 6: Final answer
    x = 14,105.95

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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.