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Finding the Fourth Proportional to 30,359.24, 45,543.72 and 12,829.24

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Solution

The fourth proportional to 30,359.24, 45,543.72 and 12,829.24 is: 19,245.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,359.24 : 45,543.72 = 12,829.24 : x
  2. Step 2: Convert to fraction form
    30,359.24/45,543.72 = 12,829.24/x
  3. Step 3: Cross multiply
    30,359.24x = 45,543.72 × 12,829.24
  4. Step 4: Simplify right side
    30,359.24x = 584,291,314.37
  5. Step 5: Solve for x
    x = 584,291,314.37/30,359.24
  6. Step 6: Final answer
    x = 19,245.91

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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.