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Finding the Fourth Proportional to 30,524.16, 45,782.52 and 13,866.48

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Solution

The fourth proportional to 30,524.16, 45,782.52 and 13,866.48 is: 20,798.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,524.16 : 45,782.52 = 13,866.48 : x
  2. Step 2: Convert to fraction form
    30,524.16/45,782.52 = 13,866.48/x
  3. Step 3: Cross multiply
    30,524.16x = 45,782.52 × 13,866.48
  4. Step 4: Simplify right side
    30,524.16x = 634,842,397.93
  5. Step 5: Solve for x
    x = 634,842,397.93/30,524.16
  6. Step 6: Final answer
    x = 20,798.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.