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Finding the Fourth Proportional to 30,829.48, 46,247.34 and 8,642.92

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Solution

The fourth proportional to 30,829.48, 46,247.34 and 8,642.92 is: 12,965.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,829.48 : 46,247.34 = 8,642.92 : x
  2. Step 2: Convert to fraction form
    30,829.48/46,247.34 = 8,642.92/x
  3. Step 3: Cross multiply
    30,829.48x = 46,247.34 × 8,642.92
  4. Step 4: Simplify right side
    30,829.48x = 399,712,059.83
  5. Step 5: Solve for x
    x = 399,712,059.83/30,829.48
  6. Step 6: Final answer
    x = 12,965.25

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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.