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Finding the Fourth Proportional to 30,829.74, 46,243.52 and 13,055.50

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Solution

The fourth proportional to 30,829.74, 46,243.52 and 13,055.50 is: 19,582.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,829.74 : 46,243.52 = 13,055.50 : x
  2. Step 2: Convert to fraction form
    30,829.74/46,243.52 = 13,055.50/x
  3. Step 3: Cross multiply
    30,829.74x = 46,243.52 × 13,055.50
  4. Step 4: Simplify right side
    30,829.74x = 603,732,275.36
  5. Step 5: Solve for x
    x = 603,732,275.36/30,829.74
  6. Step 6: Final answer
    x = 19,582.79

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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.