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Finding the Fourth Proportional to 30,710.45, 46,036.50 and 12,002.49

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Solution

The fourth proportional to 30,710.45, 46,036.50 and 12,002.49 is: 17,992.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,710.45 : 46,036.50 = 12,002.49 : x
  2. Step 2: Convert to fraction form
    30,710.45/46,036.50 = 12,002.49/x
  3. Step 3: Cross multiply
    30,710.45x = 46,036.50 × 12,002.49
  4. Step 4: Simplify right side
    30,710.45x = 552,552,630.89
  5. Step 5: Solve for x
    x = 552,552,630.89/30,710.45
  6. Step 6: Final answer
    x = 17,992.34

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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.