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Finding the Fourth Proportional to 30,277.92, 45,421.16 and 10,553.60

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Solution

The fourth proportional to 30,277.92, 45,421.16 and 10,553.60 is: 15,831.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,277.92 : 45,421.16 = 10,553.60 : x
  2. Step 2: Convert to fraction form
    30,277.92/45,421.16 = 10,553.60/x
  3. Step 3: Cross multiply
    30,277.92x = 45,421.16 × 10,553.60
  4. Step 4: Simplify right side
    30,277.92x = 479,356,754.18
  5. Step 5: Solve for x
    x = 479,356,754.18/30,277.92
  6. Step 6: Final answer
    x = 15,831.89

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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.