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Finding the Fourth Proportional to 30,292.86, 45,443.08 and 10,030.44

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Solution

The fourth proportional to 30,292.86, 45,443.08 and 10,030.44 is: 15,046.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,292.86 : 45,443.08 = 10,030.44 : x
  2. Step 2: Convert to fraction form
    30,292.86/45,443.08 = 10,030.44/x
  3. Step 3: Cross multiply
    30,292.86x = 45,443.08 × 10,030.44
  4. Step 4: Simplify right side
    30,292.86x = 455,814,087.36
  5. Step 5: Solve for x
    x = 455,814,087.36/30,292.86
  6. Step 6: Final answer
    x = 15,046.91

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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.