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Finding the Fourth Proportional to 30,642.06, 45,962.18 and 8,456.77

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Solution

The fourth proportional to 30,642.06, 45,962.18 and 8,456.77 is: 12,684.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,642.06 : 45,962.18 = 8,456.77 : x
  2. Step 2: Convert to fraction form
    30,642.06/45,962.18 = 8,456.77/x
  3. Step 3: Cross multiply
    30,642.06x = 45,962.18 × 8,456.77
  4. Step 4: Simplify right side
    30,642.06x = 388,691,312.86
  5. Step 5: Solve for x
    x = 388,691,312.86/30,642.06
  6. Step 6: Final answer
    x = 12,684.89

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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.