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Finding the Fourth Proportional to 30,525.51, 45,795.38 and 9,464.45

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Solution

The fourth proportional to 30,525.51, 45,795.38 and 9,464.45 is: 14,198.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,525.51 : 45,795.38 = 9,464.45 : x
  2. Step 2: Convert to fraction form
    30,525.51/45,795.38 = 9,464.45/x
  3. Step 3: Cross multiply
    30,525.51x = 45,795.38 × 9,464.45
  4. Step 4: Simplify right side
    30,525.51x = 433,428,151.41
  5. Step 5: Solve for x
    x = 433,428,151.41/30,525.51
  6. Step 6: Final answer
    x = 14,198.88

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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.