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Finding the Fourth Proportional to 30,536.65, 45,788.37 and 9,470.98

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Solution

The fourth proportional to 30,536.65, 45,788.37 and 9,470.98 is: 14,201.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,536.65 : 45,788.37 = 9,470.98 : x
  2. Step 2: Convert to fraction form
    30,536.65/45,788.37 = 9,470.98/x
  3. Step 3: Cross multiply
    30,536.65x = 45,788.37 × 9,470.98
  4. Step 4: Simplify right side
    30,536.65x = 433,660,736.50
  5. Step 5: Solve for x
    x = 433,660,736.50/30,536.65
  6. Step 6: Final answer
    x = 14,201.32

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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.