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Finding the Fourth Proportional to 30,300.57, 45,458.13 and 9,524.07

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Solution

The fourth proportional to 30,300.57, 45,458.13 and 9,524.07 is: 14,288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,300.57 : 45,458.13 = 9,524.07 : x
  2. Step 2: Convert to fraction form
    30,300.57/45,458.13 = 9,524.07/x
  3. Step 3: Cross multiply
    30,300.57x = 45,458.13 × 9,524.07
  4. Step 4: Simplify right side
    30,300.57x = 432,946,412.19
  5. Step 5: Solve for x
    x = 432,946,412.19/30,300.57
  6. Step 6: Final answer
    x = 14,288.39

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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.